Algebra Examples

$\sqrt{2} \cdot \sqrt{8}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 8}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $2$ by $8$ .

$\sqrt{16}$

Step 2.2

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2}}$

Step 2.3

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

$4$