Question

Which expressions are equivalent to √112073? Select three options.

A) 12.2
B) 22.122
C) 2 × √23
D) 2.7 × √12
E) 4 × √70
F) 2.5 × √7 × y

Answer 1

To find the expressions equivalent to √112,073, we need to simplify the square root of 112,073. The three expressions equivalent to √112,073 are A) 12.2, C) 2 × √23, and F) 2.5 × √7 × y.

Step-by-step explanation:

To find the expressions that are equivalent to √112,073, we need to simplify the square root of 112,073.

The prime factorization of 112,073 is 7 × 15,867. To simplify the square root, we can break down 112,073 into 7 × 15,867.

Option B) 22.122 is not equivalent to √112,073.

Option D) 2.7 × √12 simplifies as 2.7 × 2√3, which is not equivalent to √112,073.

Option E) 4 × √70 is not equivalent to √112,073.

Option C) 2 × √23 simplifies to √46, which is not equivalent to √112,073.

Option A) 12.2 is not equivalent to √112,073.

Therefore, the three expressions equivalent to √112,073 are A) 12.2, C) 2 × √23, and F) 2.5 × √7 × y.