Question

Simplify: -6i square root of -44

Answer 1

Here is the solution...

$6i\sqrt{-44}$

Step 1:

We need rewrite the square root -44 as $i\sqrt{44}$.

The reason is $\sqrt{-1} = i$

Step 2:

Now the expression became $-6i.i\sqrt{44}$

$-6i^{2}\sqrt{4*11}$

Step 3:

$i^{2} = -1 and\sqrt{4*11} = 2\sqrt{11}$

Now substitute the above values in the step 2, we get

$-6(-1)2\sqrt{11}$

Step 4:

We have to simplify it.

12$\sqrt{11}$

Therefore, the answer is 1$12\sqrt{11}$