Question

Simply the imaginary number square root -45

Answer 1

Answer:

3i$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

and $\sqrt{-1}$ = i

Given

$\sqrt{-45}$

= $\sqrt{9(5)(-1)}$

= $\sqrt{9}$ × $\sqrt{5}$ × $\sqrt{-1}$

= 3 × $\sqrt{5}$ × i

= 3i$\sqrt{5}$