Question

which number is closest to $sqrt{89}$?
9.9
9.4
8.8
10.1
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Explanation:

Step1: Square each option

$9.9^2 = 98.01$, $9.4^2 = 88.36$, $8.8^2 = 77.44$, $10.1^2 = 102.01$

Step2: Find difference from 89

$|98.01 - 89| = 9.01$, $|88.36 - 89| = 0.64$, $|77.44 - 89| = 11.56$, $|102.01 - 89| = 13.01$

Step3: Identify smallest difference

The smallest difference is 0.64, corresponding to 9.4.

Answer:

9.4