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

For more math formulas, check out our Formula Dossier

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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