Question

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

Answer 1

Step-by-step answer:

sqrt(-18)

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

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

= i*3*sqrt(2)

=3i*sqrt(2)

Answer 2

C

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

and
`√(-1)` = i

Given

`√(-18)`

=
`√(9(2)(-1))`

=
`√(9)` ×
`√(2)` ×
`√(-1)`

= 3 ×
`√(2)` × i

= 3i
`√(2)` → C