# How do you find square root of 300?

Apr 14, 2018

$10 \sqrt{3}$

#### Explanation:

Use our surds knowledge:

$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$

$\implies \sqrt{300} = \sqrt{100 \cdot 3} = \sqrt{100} \cdot \sqrt{3}$

$\implies 10 \cdot \sqrt{3}$

As 3 is prime, this is the simplest form