Gujarat BoardEnglish MediumSTD 8MATHSSquares and Square Roots3 Marks
Question
Using square root table, find the square root: $21.97$
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Answer
solution 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, $0.107 \times 0.97=0.104 \therefore \sqrt{21.97}=4.583+0.104 \approx 4.687$
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