Question

Simplify:
-6i square root of -44

Answer 1

Here is the solution...

`6i√(-44)`

Step 1:

We need rewrite the square root -44 as
`i√(44)`.

The reason is
`√(-1) = i`

Step 2:

Now the expression became
`-6i.i√(44)`

`-6i^(2)√(4*11)`

Step 3:

`i^(2) = -1 and√(4*11) = 2√(11) \\`

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

`-6(-1)2√(11)`

Step 4:

We have to simplify it.

12
`√(11)`

Therefore, the answer is 1
`12√(11)`