Algebra Examples

$\frac{\sqrt{45} \cdot \sqrt{20}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Combine using the product rule for radicals.

$\frac{\sqrt{45 \cdot 20}}{2}$

Step 1.2

Multiply $45$ by $20$ .

$\frac{\sqrt{900}}{2}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $900$ as $30^{2}$ .

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

Step 2.2

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

$\frac{30}{2}$

Step 3

Divide $30$ by $2$ .

$15$