Question

Which choice is equivalent to the expression below?

√-18

A. 18i
B. 3i√2
C. 3√2i
D. -18i
E. -3√2

Answer 1

hope you know that sqrt(-1) = i

so in this case than there are sqrt(-18) = isqrt(9*2) = isqrt(3^2 *2) = 3isqrt2

so choice B. is right sure

Answer 2

B. 3i√2.

Explanation:

Given : √-18

To find : Which choice is equivalent to the expression below.

Solution : We have given that √-18 .

As w know that
`√(-1)  = i`.

We can write
`√(18) = √(9 * 2) = √(9) * √(2)`.

`√(18) = 3 * √(2)`.

√-18 =
`√(-1)` *
`3 * √(2)`.

√-18 = i [/tex] *
`3 * √(2)`.

Therefore, B. 3i√2.