Solution: The simplified form of the radical expression is. Explanation: We have been given the radical expression. First of all, we find the factors of 20 and 125. On plugging these values in the given expression, we get. We know that square root of 4 is 2 and square root of 25 is 5. Hence, we have.Algebra. Simplify cube root of 270. 3√270 270 3. Rewrite 270 270 as 33 ⋅10 3 3 ⋅ 10. Tap for more steps... 3√33 ⋅10 3 3 ⋅ 10 3. Pull terms out from under the radical. 3 3√10 3 10 3. The result can be shown in multiple forms.Algebra. Convert to Radical Form 9^ (2/3) 92 3 9 2 3. Apply the rule xm n = n√xm x m n = x m n to rewrite the exponentiation as a radical. 3√92 9 2 3. The result can be shown in multiple forms. Exact Form: 3√92 9 2 3. Decimal Form:We will simplify this radical expression into the simplest form until no further simplification can be done. Step 1: Find the factors of the number under the radical. 486 = 3 × 3 × 3 × 3 × 3 × 2. Step 2: Write the number under the radical as a product of its factors as powers of 2. 486 = 3 2 × 3 2 × 3 × 2.Find the length of side xx in simplest radical form with a rational denominator. Show transcribed image text. There’s just one step to solve this. Solutions are written by subject matter experts or AI models, including those trained on Chegg's content and quality-checked by experts. Created by Chegg.Let us try to take the square root of 50, by factorizing. √50. = √2 × 5 × 5 −−−− −. As 5 occurs twice, we can take it out and we get. 5√2. Answer link. sqrt50=5sqrt2 Let us try to take the square root of 50, by factorizing sqrt50 = sqrt (2xxul (5xx5)) As 5 occurs twice, we can take it out and we get 5sqrt2.The Square Root of: The Work. 380−−−√ 4 ⋅ 95− −−−√ 4-√ 95−−√ 2 95−−√ 380 4 ⋅ 95 4 95 2 95. 380−−−√ ≈ 19.493588689617926 380 ≈ 19.493588689617926. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 380 up above in the ...Simplify Negative Radicals. What is a complex Number. Complex Numbers Worksheets. Images. Step by step lesson on how to simplify negative radicals--a video, example problems, plus an interactive calculator and a practice quiz.y. =. +. -. G. simplify rational or radical expressions with our free step-by-step math calculator.The Work. The Square Root of: The Work. 95−−√ cannot be reduced 95 cannot be reduced. 95−−√ ≈ 9.746794344808963 95 ≈ 9.746794344808963. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 95 up above in the textbox.The Work. The Square Root of: The Work. 15√ cannot be reduced 15 cannot be reduced. 15√ ≈ 3.872983346207417 15 ≈ 3.872983346207417. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 15 up above in the textbox.The Work. The Square Root of: The Work. 181−−−√ cannot be reduced 181 cannot be reduced. 181−−−√ ≈ 13.45362404707371 181 ≈ 13.45362404707371. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 181 up above in the textbox.The Square Root of: The Work. 40−−√ 4 ⋅ 10− −−−√ 4–√ 10−−√ 2 10−−√ 40 4 ⋅ 10 4 10 2 10. 40−−√ ≈ 6.324555320336759 40 ≈ 6.324555320336759. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 40 up above in the textbox.In some situations, you don't need to know the exact result of the square root. If this is the case, our square root calculator is the best option to estimate the value of every square root you desire.For example, let's say you want to know whether 4√5 is greater than 9.From the calculator, you know that √5 ≈ 2.23607, so 4√5 ≈ 4 × 2.23607 = 8.94428.First, list the factors of 68: 1, 2, 4, 17, 34, 68 Only one of these is a perfect square, which is 4. We can divide this out: Simplify the square root:480−−−√ ≈ 21.908902300206645 480 ≈ 21.908902300206645. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 480 up above in the textbox.Enter the radical you want to evaluate. The calculator finds the value of the radical. Step 2: Click the blue arrow to submit. Choose "Evaluate" from the topic selector and click to see the result in our Algebra Calculator ! Examples . Evaluate Evaluate. Popular Problems . Evaluate 1369 Evaluate 15 (5 + 3) Evaluate 340 Evaluate 3 2 (5 6-7 3)Subtract 3 80 x − 4 45 x. 3 80 x − 4 45 x. Rationalizing Denominators. When an expression involving square root radicals is written in simplest form, it will not contain a radical in the denominator. We can remove radicals from the denominators of fractions using a process called rationalizing the denominator.and around the web. All the steps and work for how to simplify the square root {60} in simplest radical form.The Work. The Square Root of: The Work. 197−−−√ cannot be reduced 197 cannot be reduced. 197−−−√ ≈ 14.035668847618199 197 ≈ 14.035668847618199. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 197 up above in the textbox.The Work. The Square Root of: The Work. 292−−−√ 4 ⋅ 73− −−−√ 4-√ 73−−√ 2 73−−√ 292 4 ⋅ 73 4 73 2 73. 292−−−√ ≈ 17.08800749063506 292 ≈ 17.08800749063506. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 292 up above ...Long Division Method. The square root of 80 by long division method consists of the following steps: Step 1: Pair 80 and place a bar over the digits. We also pair the 0s in decimals in pairs of 2 from left to right. Step 2: Find a number that, when multiplied to itself, gives the product less than or equal to 80.Our expert help has broken down your problem into an easy-to-learn solution you can count on. Question: Find the value of the variables. If the answer is not an integer, leave it in simplest radical form. O A. = 9/2; y = 18 o B. 2 = 9/3; y = 18 oc, x = 18; y = 18/2 OD. I = 18/3; y = 26. Here’s the best way to solve it.A radical is also in simplest form when the radicand is not a fraction. Example 1. 33, for example, has no square factors. Its factors are 3 · 11, neither of which is a square number. Therefore, is in its simplest form. Example 2. Extracting the square root. 18 has the square factor 9. 18 = 9 · 2.The Work. The Square Root of: The Work. 168−−−√ 4 ⋅ 42− −−−√ 4-√ 42−−√ 2 42−−√ 168 4 ⋅ 42 4 42 2 42. 168−−−√ ≈ 12.96148139681572 168 ≈ 12.96148139681572. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 168 up above ...Definition 10.4.1: Rational Exponent a1 n. If n√a is a real number and n ≥ 2, then. a1 n = n√a. The denominator of the rational exponent is the index of the radical. There will be times when working with expressions will be easier if you use rational exponents and times when it will be easier if you use radicals.Simplify square root of 112. √112 112. Rewrite 112 112 as 42 ⋅7 4 2 ⋅ 7. Tap for more steps... √42 ⋅7 4 2 ⋅ 7. Pull terms out from under the radical. 4√7 4 7. The result can be shown in multiple forms. Exact Form:A simple online simplest radical form calculator to find the simplest radical form for a given number. Just enter a number as input and click on calculate to get the result within the blink of an eye. Radical Expression: A radical expression is defined as any mathematical expression containing a radical (√) symbol.Answer accordingly. Show transcribed image text. Here's the best way to solve it. 100% (1 rating) Share Share. View the full answer. Previous question Next question. Transcribed image text: What is the value of x in simplest radical form?Find the length of side xx in simplest radical form with a rational denominator. Show transcribed image text. There’s just one step to solve this. Solutions are written by subject matter experts or AI models, including those trained on Chegg's content and quality-checked by experts. Created by Chegg.Oct 3, 2021 · Simplify: \(\sqrt{75}\) Solution. We can apply the product rule for radicals to simplify this number. We need to find the largest factor of \(75\) that is a perfect square (since we have a square root) and rewrite the radicand as a product of this perfect square and its other factor.A radical is said to be in its simplest form when the number under the root sign has no square factors. For example \(\sqrt{72}\) can be reduced to \(\sqrt{4 \times 18} = 2 \sqrt{18}\). But \(18\) still has the factor \(9\), so we can simplify further: \(2 \sqrt{18} = 2 \sqrt{9 \times 2} = 2 \times 3 \sqrt{2} = 6\sqrt{2}\). ...80−−√ ≈ 8.94427190999916 80 ≈ 8.94427190999916. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 80 up above in the textbox.Algebra. Convert to Radical Form 81^ (-3/4) 81−3 4 81 - 3 4. Rewrite the expression using the negative exponent rule b−n = 1 bn b - n = 1 b n. 1 813 4 1 81 3 4. Apply the rule xm n = n√xm x m n = x m n to rewrite the exponentiation as a radical. 1 4√813 1 81 3 4.The Square Root of: The Work. 576−−−√ 24 ⋅ 24− −−−−√ 24 576 24 ⋅ 24 24. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 576 up above in the textbox.Steps for dealing with a radical form. Step 1: Clearly identify the expression you want to calculate or simplify. Step 2: Identify the type of root you have. Is it a basic square root, or is it another radical? Step 3: If you have a square root, chances are that simplification could be relatively easy, for which you can use this calculator.Step 1: Enter the radical expression below for which you want to calculate the square root. The square root calculator finds the square root of the given radical expression. If a given number is a perfect square, you will get a final answer in exact form. If a given number is not a perfect square, you will get a final answer in exact form and ...The Work. The Square Root of: The Work. 59−−√ cannot be reduced 59 cannot be reduced. 59−−√ ≈ 7.681145747868608 59 ≈ 7.681145747868608. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 59 up above in the textbox.Free Square Root calculator - Find square roots of any number step-by-stepThe Work. The Square Root of: The Work. 185−−−√ cannot be reduced 185 cannot be reduced. 185−−−√ ≈ 13.601470508735444 185 ≈ 13.601470508735444. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 185 up above in the textbox.Oct 23, 2017 ... In this math video lesson on Simplifying Radical Expressions, I simplify the square root of 80p ... Simplify √(80p^3). 3.8K views · 6 years ago # ...A radical is also in simplest form when the radicand is not a fraction. Example 1. 33, for example, has no square factors. Its factors are 3 · 11, neither of which is a square number. Therefore, is in its simplest form. Example 2. Extracting the square root. 18 has the square factor 9. 18 = 9 · 2.1408− −−−√ ≈ 37.52332607858744 1408 ≈ 37.52332607858744. You can calculate the square root of any number , just change 1408 up above in the textbox.Oct 18, 2012 ... This tutorial demonstrates how to express answers in simplest radical form. Download over 1000 math resources at my website, ...Sometimes, the radicands look different, but it's possible to simplify and get the same radicand. Example 5: Simplify. 50 + 32. Simplify both radicals: 50 + 32 = 25 ⋅ 2 + 16 ⋅ 2 = ± 5 2 ± 4 2. Now, the radicands are the same. So, we can add using the distributive property. ; Before we can simplify a radical expression, we must know the ...Long Division Method. The square root of 80 by long division method consists of the following steps: Step 1: Pair 80 and place a bar over the digits. We also pair the 0s in decimals in pairs of 2 from left to right. Step 2: Find a number that, when multiplied to itself, gives the product less than or equal to 80.The Square Root of: The Work. 162−−−√ 81 ⋅ 2− −−−√ 81−−√ 2–√ 9 2–√ 162 81 ⋅ 2 81 2 9 2. 162−−−√ ≈ 12.727922061357855 162 ≈ 12.727922061357855. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 162 up above in the textbox.Find step-by-step Algebra solutions and your answer to the following textbook question: Write the following in simplest radical form. $\sqrt{80}$.Today, the age of corporate social justice is dawning. With the business case for diversity, equity and inclusion (DEI) now more vital than ever, we’re beginning to see organizatio...To find the square root of 80 in simplest radical form, we need to factorize 80 into its prime factors. First, factorize 80 as follows: 80 = 2 * 40; 80 = 2 * 2 * 20; 80 = 2 * 2 * 2 * 10; Now, rewrite 80 as a product of perfect squares and a non-square number: 80 = 4 * 20; 80 = 4 * 4 * 5; Therefore, the square root of 80 in simplest radical form ...Aug 15, 2022 ... TabletClass Math: https://tcmathacademy.com/ How to simplify a square root. For more math help to include math lessons, practice problems ...Identify the geometric mean of 8 and 20 in simplest radical form. Your solution's ready to go! Our expert help has broken down your problem into an easy-to-learn solution you can count on.Answer link. the answer is 6sqrt (5) to solve this, you'll have to find what two numbers multiply to give you 180 and you simpler the numbers, the easier it will be to solve. so I chose 90,2. you can't do anything with 2 but with 90, you can do 30*3 now 30 which will be 10*3 now 10 which will be 5,2 now you look and see which pairs you have. so ...80 80 80 is a non-perfect square. To get its simplest radical form, we have to look for its multiples, which have integer square roots.The Square Root of: The Work. 360−−−√ 36 ⋅ 10− −−−−√ 36−−√ 10−−√ 6 10−−√ 360 36 ⋅ 10 36 10 6 10. 360−−−√ ≈ 18.973665961010276 360 ≈ 18.973665961010276. (This link will show the same work that you can see on this page) You can calculate the square root of any number , just change 360 up above ...Answer: It is 3 to the sqrt of 5. Step-by-step explanation: because i took the test and that was the answer. arrow right. 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