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,
$0.136 \times 0.21 = 0.02856$
$\therefore\sqrt{13.21}=3.606+0.02856\approx3.635$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the following product:
$\left(2 x^2+3 x-7\right) \times\left(3 x^2-5 x+4\right)$
→$\left(2 x^2+3 x-7\right) \times\left(3 x^2-5 x+4\right)$
The units digit of a two-digit number is $3$ and seven time the sum of the digits is the number itself. Find the number.
→In the following figure of a ship, $ABDH$ and $CEFG$ are two parallelograms. Find the value of $x.$
→"When a monomial is divided by a monomial, the quotient is a monomial."
Siya disagrees with the statement as $x^2$ divided by $x^2$, is 1. Is Siya correct? Justify your answer.
→Siya disagrees with the statement as $x^2$ divided by $x^2$, is 1. Is Siya correct? Justify your answer.
Re-arrange suitably and find the sum in the following: $\frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2}$
→The following figures are parallelograms. Find the degree values of the unknowns $x, y, z.$
→In a school, $\frac{5}{8}$ of the students are boys. If there are $240$ girls, find the number of boys in the school.
→Find the volume of rectangular boxes with the following length, breadth and height.
(i) $8\text m, 4\text n, 5\text p$ $\quad$ (ii) $0.5\text a , 4\text b, 1.5\text c$
→(i) $8\text m, 4\text n, 5\text p$ $\quad$ (ii) $0.5\text a , 4\text b, 1.5\text c$
Simplify following: $\text{x}^2 − 3\text{x} + 5 − \frac{1}{2} (3\text{x}^2 − 5\text{x} + 7)$
→Evaluate $\sqrt{0.2809 }$
→