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 = √140
40 = √220
40 = √410
40 = √58

From that list, the highest factor that has an integer square root is 4.
Therefore, we use the product combo √40 = √410
Evaluating square roots, we see that √4 = 2

Simplify our product

40 = 2√10

Therefore, 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 = x2y4
Our leftover piece under the radical becomes 2√10
Our final answer is the factored out piece and the expression under the radical

What is the Answer?
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

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What 3 concepts are covered in the Radical Expressions Calculator?

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
square root
a factor of a number that, when multiplied by itself, gives the original number
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