Algebra Examples

$\sqrt{2 x^{2}} \cdot \sqrt{15 x^{2}}$

Step 1

Reorder $2$ and $x^{2}$ .

$\sqrt{x^{2} \cdot 2} \cdot \sqrt{15 x^{2}}$

Step 2

Pull terms out from under the radical.

$x \sqrt{2} \cdot \sqrt{15 x^{2}}$

Step 3

Reorder $15$ and $x^{2}$ .

$x \sqrt{2} \cdot \sqrt{x^{2} \cdot 15}$

Step 4

Pull terms out from under the radical.

$x \sqrt{2} \cdot (x \sqrt{15})$

Step 5

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

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Step 5.1

Move $x$ .

$x \cdot x \sqrt{2} \cdot \sqrt{15}$

Step 5.2

Multiply $x$ by $x$ .

$x^{2} \sqrt{2} \cdot \sqrt{15}$

$x^{2} \sqrt{2} \cdot \sqrt{15}$

Step 6

Multiply $x^{2} \sqrt{2} \sqrt{15}$ .

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Step 6.1

Combine using the product rule for radicals.

$x^{2} \sqrt{15 \cdot 2}$

Step 6.2

Multiply $15$ by $2$ .

$x^{2} \sqrt{30}$

$x^{2} \sqrt{30}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$