Simplify square root of 49y^5

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Trigonometry

$\sqrt{49 y^{5}}$

Rewrite $49 y^{5}$ as ${(7 y^{2})}^{2} y$ .

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Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} y^{5}}$

Factor out $y^{4}$ .

$\sqrt{7^{2} (y^{4} y)}$

Rewrite $y^{4}$ as ${(y^{2})}^{2}$ .

$\sqrt{7^{2} ({(y^{2})}^{2} y)}$

Rewrite $7^{2} {(y^{2})}^{2}$ as ${(7 y^{2})}^{2}$ .

$\sqrt{{(7 y^{2})}^{2} y}$

Pull terms out from under the radical.

$7 y^{2} \sqrt{y}$

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