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3 years ago

9

Which choice is equivalent to the expression below ^-216

2 answers:

ikadub [295]3 years ago

6 0

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!

Natali5045456 [20]3 years ago

5 0

Answer:

B. 6i√6

General Formulas and Concepts:

<u>Algebra II</u>

Imaginary Numbers: √-1 = i

Step-by-step explanation:

<u>Step 1: Define expression</u>

√-216

<u>Step 2: Simplify</u>

Factor: √-1 · √216
Simplify: i · 6√6
Multiply: 6i√6

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