Algebra Examples

$(\sqrt{8}) (\sqrt{\frac{1}{2}})$

Step 1

Combine using the product rule for radicals.

$\sqrt{8 (\frac{1}{2})}$

Step 2

Combine $8$ and $\frac{1}{2}$ .

$\sqrt{\frac{8}{2}}$

Step 3

Simplify the expression.

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Step 3.1

Divide $8$ by $2$ .

$\sqrt{4}$

Step 3.2

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

$\sqrt{2^{2}}$

Step 4

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

$2$