Question

Find the square roots of the following numbers to the fourth decimal place by the division method. Then, write the approximate value of each square root up to the third, second and first decimal places.

(2) 135

Answer 1

The square root of 135 can be obtained by using the division method as follows:

$\Rightarrow \sqrt{135}=11.6189$
∴ The square root of 135 is 11.6189
The approximate value of 11.6189 up to the third decimal place can be written by rounding the value of the last digit as 11.619
The approximate value of 11.6189 up to the second decimal place can be written by rounding the value of the last digit as 11.62
The approximate value of 11.6189 up to the first decimal place can be written by rounding the value of the last digit as 11.6

∴ The square root of 135 is 11.6189
The approximate value up to the third decimal place is 11.619
The approximate value up to the second decimal place is 11.62
The approximate value up to the first decimal place is 11.6