Basic Math Examples

$\sqrt{50 y^{6}}$

Step 1

Rewrite $50 y^{6}$ as ${(5 y^{3})}^{2} \cdot 2$ .

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Step 1.1

Factor $25$ out of $50$ .

$\sqrt{25 (2) y^{6}}$

Step 1.2

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 2 y^{6}}$

Step 1.3

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

$\sqrt{5^{2} \cdot 2 {(y^{3})}^{2}}$

Step 1.4

Move $2$ .

$\sqrt{5^{2} {(y^{3})}^{2} \cdot 2}$

Step 1.5

Rewrite $5^{2} {(y^{3})}^{2}$ as ${(5 y^{3})}^{2}$ .

$\sqrt{{(5 y^{3})}^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$5 y^{3} \sqrt{2}$