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which number is closest to \\(\\sqrt{22}\\) ? 3.9 5.1 4.6 4.1

Question

which number is closest to \\(\sqrt{22}\\) ? 3.9 5.1 4.6 4.1

Explanation:

Step1: Square each option

$3.9^2 = 15.21$, $5.1^2 = 26.01$, $4.6^2 = 21.16$, $4.1^2 = 16.81$

Step2: Find difference from 22

$|22 - 15.21| = 6.79$, $|22 - 26.01| = 4.01$, $|22 - 21.16| = 0.84$, $|22 - 16.81| = 5.19$

Step3: Identify smallest difference

The smallest difference is 0.84, corresponding to 4.6.

Answer:

4.6