# How do you simplify -sqrt(1089)?

Jun 1, 2016

$- \sqrt{1089} = - 33$

#### Explanation:

As $1089$ is divisible by $9$ (sum of digits divisible by $9$)

and quotient is $121 = 11 \times 11$

Hence

$- \sqrt{1089} = - \sqrt{\underline{3 \times 3} \times \underline{11 \times 11}}$

= $- 3 \times 11 = - 33$