Simplify ( square root of 8)( square root of 1/2)

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

Combine using the product rule for radicals.

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

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

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

Simplify the expression.

Divide $8$ by $2$ .

$\sqrt{4}$

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

$\sqrt{2^{2}}$

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

$2$