# How do you multiply sqrt(75)?

Apr 4, 2016

$= 5 \sqrt{3}$

#### Explanation:

$\sqrt{75}$

We first prime factorise $75$ (express a number as a product of its prime factors)

$\sqrt{75} = \sqrt{3 \cdot 5 \cdot 5}$

$\sqrt{75} = \sqrt{3 \cdot {5}^{2}}$

$= 5 \sqrt{3}$