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find two consecutive whole numbers that \\(\\sqrt{106}\\) lies between.

Question

find two consecutive whole numbers that \\(\sqrt{106}\\) lies between.

Explanation:

Step1: Find squares around 106

We know that \(10^2 = 100\) and \(11^2 = 121\).

Step2: Compare with 106

Since \(10^2 = 100 < 106 < 121 = 11^2\), taking square roots (since square root is an increasing function), we get \(10 < \sqrt{106} < 11\).

Answer:

10 and 11