Question

ASAP! Simplify -5 - square root -44

Answer 1

Answer:

$\boldmath-5-2i\sqrt{\boldmath11}$

Step-by-step explanation:

The not simplified form is $-5-\sqrt{-44}$

you know that $\sqrt{a\times b} = \sqrt{a} \times\sqrt{b}$ is true a and b are both positive or one of it is negative (not both of them).

You can write -44 as -1 × 4 × 11 inside square root.

So, $\sqrt{-44} = \sqrt{-1\times4\times11}=\sqrt{-1}\times\sqrt{4}\times\sqrt{11}=i\times2\times\sqrt{11}$         ($\sqrt{4}=2$)

$\therefore -5-\sqrt{-44} = -5-2i\sqrt{11}$

(NOTE : You must know that $\boldmath\sqrt{\boldmath-1}$ is written as $\boldsymbol i$ )