Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots3 Marks
Question
Using square root table, find the square root:
21.97
✓
Answer
We have to find $\sqrt{21.97}$
From the square root table, we have,
$\sqrt{21}=\sqrt{3}\times\sqrt{7}=4.583$ and $\sqrt{22}=\sqrt{2}\times\sqrt{11}=4.690$
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 the values of their square roots is,
0.107 × 0.97 = 0.104
$\therefore\sqrt{21.97}=4.583+0.104\approx4.687$
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