Problem

Find two consecutive whole numbers that $\sqrt{104}$ lies between. and \[ \times \quad 5 \]

Solution

Step 1 :The problem is asking to find two consecutive whole numbers that the square root of 104 lies between.

Step 2 :We start by finding the square root of the nearest perfect squares that are less than and greater than 104.

Step 3 :The perfect square less than 104 is 100, which is \(10^2\), and the perfect square greater than 104 is 121, which is \(11^2\).

Step 4 :So, the two consecutive whole numbers that \(\sqrt{104}\) could possibly lie between are 10 and 11.

Step 5 :We then calculate the square root of 104, which is approximately 10.198.

Step 6 :Since 10.198 is greater than 10 and less than 11, we can conclude that the two consecutive whole numbers that \(\sqrt{104}\) lies between are 10 and 11.

Step 7 :Final Answer: The two consecutive whole numbers that \(\sqrt{104}\) lies between are \(\boxed{10}\) and \(\boxed{11}\).

From Solvely APP
Source: https://solvelyapp.com/problems/4OiSZU1dg2/

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