Question
Using square root table, find the square root, $11.11$
✓
Answer
We have, $\sqrt{11}=3.317$ and $\sqrt{12}=3.464$
Their difference is $0.1474$
Thus, for the difference of $1\ (12 - 11),$ the difference in the value of the square roots is $0.1474$ For the difference of $0.11$,
the difference in the values of the square roots is, $0.11 \times 0.1474 = 0.0162$
$\therefore\sqrt{11.11}=3.3166+0.0162=3.328\approx3.333$
Their difference is $0.1474$
Thus, for the difference of $1\ (12 - 11),$ the difference in the value of the square roots is $0.1474$ For the difference of $0.11$,
the difference in the values of the square roots is, $0.11 \times 0.1474 = 0.0162$
$\therefore\sqrt{11.11}=3.3166+0.0162=3.328\approx3.333$
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