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

Answer

↓Steps Explained:↓

√40

√40x⁴y⁸

We can factor out the following portion using the highest even powers of variables:

√x⁴y⁸ = x^{4 ÷ 2}y^{8 ÷ 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

2x²y⁴√10

Final Answer

2x²y⁴√10

The highest factor with an integer square root is 4

Use the product combo √40 = √4√10

Evaluating square roots, we see that √4 = 2

Simplify our product

√40 = 2√10

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