Question
Using square root table, find the square root:
$13.21$
$13.21$
✓
Answer
From the square root table, we have,
$\sqrt{13}=3.606$ and $\sqrt{14}=\sqrt{2}\times\sqrt{7}=3.742$
Their difference is $0.136$
Thus, for the difference of $1 (14 - 13)$, the difference in the values of the square roots is $0.136$
For the difference of $0.21$, the difference in the values of their square roots is,
$0.136 \times 0.21 = 0.02856$
$\therefore\sqrt{13.21}=3.606+0.02856\approx3.635$
$\sqrt{13}=3.606$ and $\sqrt{14}=\sqrt{2}\times\sqrt{7}=3.742$
Their difference is $0.136$
Thus, for the difference of $1 (14 - 13)$, the difference in the values of the square roots is $0.136$
For the difference of $0.21$, the difference in the values of their square roots is,
$0.136 \times 0.21 = 0.02856$
$\therefore\sqrt{13.21}=3.606+0.02856\approx3.635$
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