Basic Math Examples

$5 \cdot \sqrt{99} \div \sqrt{11}$

Step 1

Rewrite the division as a fraction.

$\frac{5 \cdot \sqrt{99}}{\sqrt{11}}$

Step 2

Combine $\sqrt{99}$ and $\sqrt{11}$ into a single radical.

$5 \cdot \sqrt{\frac{99}{11}}$

Step 3

Simplify the expression.

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Step 3.1

Divide $99$ by $11$ .

$5 \cdot \sqrt{9}$

Step 3.2

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

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

Step 4

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

$5 \cdot 3$

Step 5

Multiply $5$ by $3$ .

$15$