# How do you simplify 7sqrt(28)?

Mar 5, 2018

You find perfect squares that are factors in the radical.

#### Explanation:

√28

√4=2

7*2√7

14√7

Mar 5, 2018

$14 \sqrt{7}$

#### Explanation:

$28$ is the same as $2 \times 14$ witch in turn is the same as ${2}^{2} \times 7$

Write as $7 \sqrt{{2}^{2} \times 7}$

Taking the ${2}^{2}$ 'outside' the square root changes it from ${2}^{2} \text{ to } 2$

$7 \sqrt{{2}^{2} \times 7} = 7 \times 2 \times \sqrt{7}$

$14 \sqrt{7}$