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

Answer:

B. 3i√2.

Step-by-step explanation:

Given : √-18

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

Solution : We have given that √-18 .

As w know that $\sqrt{-1}  = i$.

We can write $\sqrt{18} = \sqrt{9 * 2} = \sqrt{9} * \sqrt{2}$.

$\sqrt{18} = 3 * \sqrt{2}$.

√-18  = $\sqrt{-1}$ *  $3 * \sqrt{2}$.

√-18  = i [/tex] *  $3 * \sqrt{2}$.

Therefore, B. 3i√2.