Question

Which choice is equivalent to the expression below ^-216​

Answer 1

B because when you take the square root of a negative number, it is imaginary (i). That eliminates A,C,D. When you take the square root of -216, the radical will no longer be negative since you identified it as imaginary. The greatest perfect square that you can take from 216 is 36.( 36 x 6= 216). So the square root of 36 is 6. So 6i radical 6 which is B. You can’t simplify the 6 inside the square root because it is not a perfect square. Hope this helps!

Answer 2

Answer:

B. 6i√6

General Formulas and Concepts:

Algebra II

• Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define expression

√-216

Step 2: Simplify

1. Factor:                     √-1 · √216
2. Simplify:                   i · 6√6
3. Multiply:                   6i√6