# How do you simplify 3 sqrt 24-2sqrt6?

May 25, 2016

$4 \sqrt{6}$

#### Explanation:

Notice that 6 is a common factor to 6 and 24

Write as$\text{ } 3 \sqrt{4 \times 6} - 2 \sqrt{6}$

$3 \sqrt{{2}^{2} \times 6} - 2 \sqrt{6}$

$3 \times 2 \sqrt{6} - 2 \sqrt{6}$

$6 \sqrt{6} - 2 \sqrt{6}$

Think of $\text{ } 6 a - 2 a = 4 a$

Then by using the same principle

$6 \sqrt{6} - 2 \sqrt{6} \text{ "=" } 4 \sqrt{6}$