Question

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

Answer 1

Answer:

$15-8i$

Step-by-step explanation:

we know that

The algebraic expression is equal to

$5\sqrt{9}-\sqrt{-64}}$

Remember that

$\sqrt{9}=3$

and

$i=\sqrt{-1}$

so

$\sqrt{-64}=i\sqrt{64}=8i$

substitute

$5\sqrt{9}-\sqrt{-64}}=5(3)-(8i)=15-8i$