# Using Square Root Table, Find the Square Root - Mathematics

Using square root table, find the square root

#### Solution

We have to find

$\sqrt{21 . 97}$

From the square root table, we have:

$\sqrt{21} = \sqrt{3} \times \sqrt{7} = 4 . 583 \text{ and } \sqrt{22} = \sqrt{2} \times \sqrt{11}$

Their difference is 0.107.
Thus, for the difference of 1 (22 $-$ 21), the difference in the values of the square roots is 0.107.
For the difference of 0.97, the difference in the values of their square roots is: $0 . 107 \times 0 . 97 = 0 . 104$

$\therefore$ $\sqrt{21 . 97} = 4 . 583 + 0 . 104 \approx 4 . 687$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.9 | Q 18 | Page 61