How do you simplify #sqrt(8x^6y^7)?

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How do you simplify #sqrt(8x^6y^7)?

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Answer 1 · 2015-11-16T15:57:03

$2 x^{3} y^{3} \sqrt{2 y}$ $2x^3y^3sqrt(2y$

Explanation:

In order to calculate $\sqrt{8 x^{6} y^{7}}$ $sqrt(8x^6y^7)$ , know that $\sqrt{a^{2} b^{2}} = a b$ $sqrt(a^2b^2)=ab$ .
We can rewrite $\sqrt{8 x^{6} y^{7}}$ $sqrt(8x^6y^7)$ as $\sqrt{{(2)}^{2} \cdot 2 \cdot {(x^{3})}^{2} \cdot {(y^{3})}^{2} \cdot y}$ $sqrt((2)^2*2*(x^3)^2*(y^3)^2*y)$ .
We can take all the terms that are squared out from under the square root, leaving the answer $2 x^{3} y^{3} \sqrt{2 y}$ $color(blue)(2x^3y^3sqrt(2y$ .

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How do you simplify #sqrt(8x^6y^7)?

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