Therefore, we can factor out 2 from the radical, and leave 10 under the radical


Answer
Success!
2x2y410

↓Steps Explained:↓

40

40x4y8

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

2x2y410

Final Answer

2x2y410

The highest factor with an integer square root is 4

Use the product combo √40 = √410

Evaluating square roots, we see that √4 = 2

Simplify our product

40 = 2√10


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