Algebra Examples

$5 \sqrt{45} \div \sqrt{5}$

Step 1

Rewrite the division as a fraction.

$\frac{5 \sqrt{45}}{\sqrt{5}}$

Step 2

Combine $\sqrt{45}$ and $\sqrt{5}$ into a single radical.

$5 \sqrt{\frac{45}{5}}$

Step 3

Simplify the expression.

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Step 3.1

Divide $45$ by $5$ .

$5 \sqrt{9}$

Step 3.2

Rewrite $9$ as $3^{2}$ .

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

Step 4

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

$5 \cdot 3$

Step 5

Multiply $5$ by $3$ .

$15$