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QUESTION IMAGE

$\\sqrt{4.84} = \\square$

Question

$\sqrt{4.84} = \square$

Explanation:

Step1: Recall square of decimal

We know that to find the square root of a decimal number, we can think about which number, when multiplied by itself, gives the number inside the square root. Let's consider the number 2.2.

Step2: Calculate square of 2.2

We calculate \(2.2\times2.2\). \(2\times2 = 4\), \(2\times0.2=0.4\), \(0.2\times2 = 0.4\), \(0.2\times0.2=0.04\). Then, \((2 + 0.2)\times(2+0.2)=2\times2+2\times0.2 + 0.2\times2+0.2\times0.2=4 + 0.4+0.4 + 0.04 = 4.84\). So, \(\sqrt{4.84}=2.2\)

Answer:

\(2.2\)