# How do you find the value of sqrt(6/5)*sqrt(3) in simplest form?

Mar 24, 2015

Remember that provided the exponent of the radicals are the same (in this case both are square roots so their exponents are both $2$) then the arguments can be multiplied directly under a radical with the same exponent.

Therefore

$\sqrt{\frac{6}{5}} \cdot \sqrt{3}$

$= \sqrt{\frac{6}{5} \cdot 3}$

$= \sqrt{{3}^{2} \cdot \frac{2}{5}}$

$= 3 \sqrt{\frac{2}{5}}$