Algebra Examples

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

Step 1

Combine using the product rule for radicals.

$\sqrt{20 \cdot 5}$

Step 2

Write the expression using exponents.

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Step 2.1

Multiply $20$ by $5$ .

$\sqrt{100}$

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.

$10$