Question

Write in terms of i . Simplify your answer as much as possible. Square root -27

Answer 1

Answer:

3i$\sqrt{3}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ and $\sqrt{-1}$ = i

Given

$\sqrt{-27}$

= $\sqrt{9(3)(-1)}$

= $\sqrt{9}$ × $\sqrt{3}$ × $\sqrt{-1}$

= 3i$\sqrt{3}$