Question

Which expression is equivalent to the expression below?

Answer 1

Answer:

A

Step-by-step explanation:

Given

$\sqrt{-108}$ - $\sqrt{-3}$

= $\sqrt{36(3)(-1)}$ - $\sqrt{3(-1)}$

= 6$\sqrt{3}$ i - $\sqrt{3}$ i

= 5$\sqrt{3}$ i

Answer 2

Answer:

Step-by-step explanation:

√(-108) - √(-3)

= √(-3*36) - √(-3)

= √[(-3)*36] - √(-3)

= √(-3)*(√36 - 1)

= √[(-1)*(3)]*(6-1)

= i*√(3)*(5)

= 5√3i