Question

Which choice is equivalent to the expression below? Square root of -18

Answer 1

Answer:

C

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

and $\sqrt{-1}$ = i

Given

$\sqrt{-18}$

= $\sqrt{9(2)(-1)}$

= $\sqrt{9}$ × $\sqrt{2}$ × $\sqrt{-1}$

= 3 × $\sqrt{2}$ × i

= 3i$\sqrt{2}$ → C

Answer 2

Step-by-step answer:

sqrt(-18)

= sqrt((-1)*(9)*(2)

= sqrt((-1))*sqrt(9)*sqrt(2)

= i*3*sqrt(2)

=3i*sqrt(2)