Algebra Examples

$\sqrt{5 x} \cdot \sqrt{15}$

Step 1

Multiply $\sqrt{5 x} \sqrt{15}$ .

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Step 1.1

Combine using the product rule for radicals.

$\sqrt{5 x \cdot 15}$

Step 1.2

Multiply $15$ by $5$ .

$\sqrt{75 x}$

$\sqrt{75 x}$

Step 2

Rewrite $75 x$ as $5^{2} \cdot (3 x)$ .

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Step 2.1

Factor $25$ out of $75$ .

$\sqrt{25 (3) x}$

Step 2.2

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

$\sqrt{5^{2} \cdot 3 x}$

Step 2.3

Add parentheses.

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

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

Step 3

Pull terms out from under the radical.

$5 \sqrt{3 x}$

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