Question

`\sqrt[2]{80x^(2)y^(25) }`

Answer 1

4xy^5√5

Explanation:

√80 x √x² x √y^25

=4√5 x x x y^5

= 4√5xy^5

Answer 2

4xy^12√(5y)

Explanation:

Squares under the radical can be factored out.

`\displaystyle \sqrt{80x^2y^(25)}=\sqrt{(4xy^(12))^2\cdot5y}=\boxed{4xy^(12)√(5y)}`

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Additional comment

Some versions of this question may have different exponents.