Algebra Examples

$3 \sqrt{49 x^{9} y^{16}}$

Step 1

Rewrite $49 x^{9} y^{16}$ as ${(7 x^{4} y^{8})}^{2} x$ .

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Step 1.1

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

$3 \sqrt{7^{2} x^{9} y^{16}}$

Step 1.2

Factor out $x^{8}$ .

$3 \sqrt{7^{2} (x^{8} x) y^{16}}$

Step 1.3

Rewrite $x^{8}$ as ${(x^{4})}^{2}$ .

$3 \sqrt{7^{2} ({(x^{4})}^{2} x) y^{16}}$

Step 1.4

Rewrite $y^{16}$ as ${(y^{8})}^{2}$ .

$3 \sqrt{7^{2} ({(x^{4})}^{2} x) {(y^{8})}^{2}}$

Step 1.5

Move $x$ .

$3 \sqrt{7^{2} ({(x^{4})}^{2}) {(y^{8})}^{2} x}$

Step 1.6

Rewrite $7^{2} ({(x^{4})}^{2}) {(y^{8})}^{2}$ as ${(7 x^{4} y^{8})}^{2}$ .

$3 \sqrt{{(7 x^{4} y^{8})}^{2} x}$

Step 2

Pull terms out from under the radical.

$3 (| 7 x^{4} y^{8} | \sqrt{x})$

Step 3

Remove non-negative terms from the absolute value.

$3 (7 x^{4} y^{8} \sqrt{x})$

Step 4

Multiply $7$ by $3$ .

$21 x^{4} y^{8} \sqrt{x}$