Algebra Examples

$12 x \sqrt{900 x^{2} y^{4} z^{6}}$

Step 1

Rewrite $900 x^{2} y^{4} z^{6}$ as ${(30 x y^{2} z^{3})}^{2}$ .

$12 x \sqrt{{(30 x y^{2} z^{3})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$12 x (30 x y^{2} z^{3})$

Step 3

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$12 (x \cdot x) (30 y^{2} z^{3})$

Step 3.2

Multiply $x$ by $x$ .

$12 x^{2} (30 y^{2} z^{3})$

Step 4

Multiply $30$ by $12$ .

$360 x^{2} y^{2} z^{3}$