Enter radical expression
Simplify √40x4y8
Simplify √40.
Checking square roots, we see that 62 = 36 and 72 = 49.
Our answer is not an integer.
Simplify it into the product of an integer and a radical.
List each product combo of 40
checking for integer square root values below:
√40 = √1√40
√40 = √2√20
√40 = √4√10
√40 = √5√8
From that list, the highest factor that has an integer square root is 4.
Therefore, we use the product combo √40 = √4√10
Evaluating square roots, we see that √4 = 2
Simplify our product
√40 = 2√10Therefore, we can factor out 2 from the radical, and leave 10 under the radical
We can factor out the following portion using the highest even powers of variables:
√x4y8 = x4 ÷ 2y8 ÷ 2 = x2y4Our leftover piece under the radical becomes 2√10
Our final answer is the factored out piece and the expression under the radical
2x2y4√10
What is the Answer?
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How does the Radical Expressions Calculator work?
Free Radical Expressions Calculator - Evaluates and simplifies radical expressions. Simplifying radical expressions.
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What 4 formulas are used for the Radical Expressions Calculator?
List out all factor products for S
Find the highest factor with an integer square root and multiply the square root by the other square root of the factor
For more math formulas, check out our Formula Dossier
Find the highest factor with an integer square root and multiply the square root by the other square root of the factor
For more math formulas, check out our Formula Dossier
What 3 concepts are covered in the Radical Expressions Calculator?
- radical
- The √ symbol that is used to denote square root or nth roots
√ - radical expressions
- an nth root of a number x is a number r which, when raised to the power n, yields x
n√x - square root
- a factor of a number that, when multiplied by itself, gives the original number
√x
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Radical Expressions Calculator Video
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