Question

which number is closest to \\(\sqrt{142}\\) ? 11.9 12.4 12.5 10.5

Explanation:

Step1: Square each option

$11.9^2 = 141.61$, $12.4^2 = 153.76$, $12.5^2 = 156.25$, $10.5^2 = 110.25$

Step2: Find differences from 142

$|141.61 - 142| = 0.39$, $|153.76 - 142| = 11.76$, $|156.25 - 142| = 14.25$, $|110.25 - 142| = 31.75$

Step3: Identify smallest difference

The smallest difference is 0.39, corresponding to 11.9.

Answer:

11.9