Simplify square root of 18y^6

$\sqrt{18 y^{6}}$

Rewrite $18 y^{6}$ as ${(3 y^{3})}^{2} \cdot 2$ .

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Factor $9$ out of $18$ .

$\sqrt{9 (2) y^{6}}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 2 y^{6}}$

Rewrite $y^{6}$ as ${(y^{3})}^{2}$ .

$\sqrt{3^{2} \cdot 2 {(y^{3})}^{2}}$

Move $2$ .

$\sqrt{3^{2} {(y^{3})}^{2} \cdot 2}$

Rewrite $3^{2} {(y^{3})}^{2}$ as ${(3 y^{3})}^{2}$ .

$\sqrt{{(3 y^{3})}^{2} \cdot 2}$

Pull terms out from under the radical.

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

Simplify square root of 18y^6

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