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.

(3) 777

Answer 1

The value of the square root of 777 can be obtained by using the division method as follows:

$\Rightarrow \sqrt{777}=27.8747$
∴ The square root of 777 is 27.8747
The approximate value of 27.8747 up to third decimal place can be written by rounding the value of the last digit as 27.875
The approximate value of 27.8747 up to the second decimal place can be written by rounding the value of the last digit as 27.88
The approximate value of 27.8747 up to the first decimal place can be written by rounding the value of the last digit as 27.9

∴ The square root of 777 is 27.8747
The approximate value up to the third decimal place is 27.875
The approximate value up to the second decimal place is 27.88
the approximate value up to the first decimal place is 27.9