Question

which number is closest to \\(sqrt{138}\\) ? 11.1 11.7 12.5 11.2 submit

Explanation:

Step1: Square each option

$11.1^2 = 123.21$, $11.7^2 = 136.89$, $12.5^2 = 156.25$, $11.2^2 = 125.44$

Step2: Find difference from 138

$|138 - 123.21| = 14.79$, $|138 - 136.89| = 1.11$, $|138 - 156.25| = 18.25$, $|138 - 125.44| = 12.56$

Step3: Identify smallest difference

The smallest difference is 1.11, corresponding to 11.7.

Answer:

11.7