Using square root table, find the square root

Question:

Using square root table, find the square root
4192

Solution:

$\sqrt{4192}=\sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 131}$

$=2 \times 2 \sqrt{2} \times \sqrt{131}$

The square root of 131 is not listed in the table. Hence, we have to apply long division to find it.

Substituting the values:

$=2 \times 2 \times 11.4455 \quad$ (using the table to find $\sqrt{2}$ )

= 64.75

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