Question

An expression is shown.

48÷12 −−−−−−−−√ +(12)−2

What is the value of the expression?

Hint: Remember to simplify what is under the square root first. The negative exponent rule says to take the reciprocal of the number, and then the negative exponent becomes a positive exponent.

(1 point)
Responses

2
2

4
4

6
6

8
8

Answer 1

Interpret the expression as √(48 ÷ 12) + (12)^(−2).

48 ÷ 12 = 4, so √4 = 2.
(12)^(−2) = 1 / 12^2 = 1/144.

So the value is 2 + 1/144 = 289/144 ≈ 2.00694. From the given multiple-choice options, the closest/correct choice is 2.