Question

Simplify the expression. Write your answer as a complex number.

8 times the square root of 49 minus the square root of negative 36

56 + 6i
56 − 6i
56 + 18i
56 − 18i

Answer 1

It is the second option

Answer 2

Answer:  The correct option is

(B) 56-6i.

Step-by-step explanation:  We are given to simplify the following expression :

"8 times the square root of 49 minus the square root of negative 36".

We will be using the following imaginary number i (iota) :

$i=\sqrt{-1}.$

Mathematically, the given expression can be written as :

$E\\\\=8\times\sqrt{49}-\sqrt{-36}\\\\=8\times\sqrt{7^2}-\sqrt{36}\sqrt{-1}\\\\=8\times7-6\times i\\\\=56-6i.$

Thus, the required simplified number is 56-6i.

Option (B) is CORRECT.