Question

Question 7 of 30

Which choices are equivalent to the expression below?
Check all that apply.
√12
A. 3.√√2
B. 144 √√3
C. √√3.4.
D. 2.√√3
E. A
F. 12

Answer 1

The square root of 12 can be simplified as 2√3. The equivalent choices are A and D.

Step-by-step explanation:

The expression √12 can be simplified as follows:

1. Step 1: Factorize 12. 12 can be written as 2 x 2 x 3.
2. Step 2: Take out any number who's power is an even number. In this case, we can take out 2 as 2^2 = 4. So, the square root of 12 can be written as √(4 x 3).
3. Step 3: Simplify. The square root of 4 is 2. Therefore, √(4 x 3) is equal to 2√3.

Therefore, the equivalent choices to the expression √12 are options A (3.√√2) and D (2.√√3). The answer choices B, C, E, and F are not equivalent to the expression √12.

Learn more about Simplifying square roots