Question

Simplify the square root of 32/5

Answer 1

Remember $\sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} }$
and
$\sqrt{ab^2} =b \sqrt{a}$
$\sqrt{ \frac{32}{5} } = \frac{ \sqrt{(4^2)(2)} }{ \sqrt{5} } = \frac{ 4\sqrt{2} }{ \sqrt{5} }$
times whoe thing by $\frac{ \sqrt{5} }{ \sqrt{5} }$
$\frac{4 \sqrt{10} }{5}$