Basic Math Examples

$\sqrt{256 x^{5} y^{2}}$

Step 1

Rewrite $256 x^{5} y^{2}$ as ${(16 x^{2} y)}^{2} x$ .

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Step 1.1

Rewrite $256$ as $16^{2}$ .

$\sqrt{16^{2} x^{5} y^{2}}$

Step 1.2

Factor out $x^{4}$ .

$\sqrt{16^{2} (x^{4} x) y^{2}}$

Step 1.3

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

$\sqrt{16^{2} ({(x^{2})}^{2} x) y^{2}}$

Step 1.4

Move $x$ .

$\sqrt{16^{2} ({(x^{2})}^{2}) y^{2} x}$

Step 1.5

Rewrite $16^{2} ({(x^{2})}^{2}) y^{2}$ as ${(16 x^{2} y)}^{2}$ .

$\sqrt{{(16 x^{2} y)}^{2} x}$

Step 2

Pull terms out from under the radical.

$16 x^{2} y \sqrt{x}$