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.

(5) 5328

Answer 1

The square root of 5328 can be obtained by using the division method as follows:

$\Rightarrow \sqrt{5328}=72.9931$
∴ The square root of 5328 is 72.9931
The approximate value of 72.9931 up to the third decimal place can be written by rounding the value of the last digit as 72.993
The approximate value of 72.9931 up to the second decimal place can be written by rounding the value of the last digit as 72.99
The approximate value of 72.9931 up to the first decimal place can be written by rounding the value of the last digit as 73.0

∴ Square root of 5328 is 72.9931
The approximate value up to the third decimal place is 72.993
The approximate value up to the second decimal place is 72.99
The approximate value up to the first decimal place is 73.0