Simplify 60/(( square root of 3)( square root of 12))

$\frac{60}{(\sqrt{3}) (\sqrt{12})}$

Simplify the denominator.

Combine using the product rule for radicals.

$\frac{60}{\sqrt{3 \cdot 12}}$

Multiply $3$ by $12$ .

$\frac{60}{\sqrt{36}}$

Simplify the denominator.

Rewrite $36$ as $6^{2}$ .

$\frac{60}{\sqrt{6^{2}}}$

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

$\frac{60}{6}$

Divide $60$ by $6$ .

$10$