Question

Find the approximate values of the square roots of the following numbers up to two decimal places.

(1) 91.3216
(2) 7.659

Answer 1

(1) The square root of 91.3216 can be obtained using division method as follows:


$\Rightarrow \sqrt{91.3216}=9.556$
∴ The square root of 91.3216 is 9.556

The approximate value of 9.556 up to second decimal place can be written by rounding the value of the last digit as 9.56
∴ Approximate value up to second decimal place is 9.56

(2) The square root of 7.6590 can be obtained using division method as follows:

$\Rightarrow \sqrt{7.6590}=2.767$
∴ The square root of 7.6590 is 2.767

The approximate value of 2.767 up to the second decimal place can be written by rounding the value of the last digit as 2.77
∴ Approximate value up to second decimal place is 2.77