Algebra Examples

$\sqrt{5} \cdot \sqrt{20}$

Step 1

Combine using the product rule for radicals.

$\sqrt{5 \cdot 20}$

Step 2

Write the expression using exponents.

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Step 2.1

Multiply $5$ by $20$ .

$\sqrt{100}$

Step 2.2

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

Step 2.3

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

$10$