What is the square root of –16?

Question

asked Sep 21, 2020 53.2k views

2 Answers

Vilson Vieira · Answer 1 · 2020-09-22T18:21:42+0000

Answer:

$\boxed{\bold{4i}}$

Step By Step Explanation:

[ Step One ] Apply Radical Rule
$\bold{√(-a)=√(-1)√(a): \ √(-16)=√(-1)√(16)}$

$\bold{√(-1)√(16)}$

[ Step Two ] Apply Imaginary Number Rule:
$\bold{√(-1)=i}$

$\bold{√(16)i}$

[ Step Three ] Simplify
$\bold{√(16)}$

$\bold{√(16): \ 4}$

[ Step Four ] Rewrite Equation

$\bold{4i}$