Evaluate the square root of
We are going to use long division method to find square root of
The steps for finding the value of is given below
Step 1:
The number can be written as
Step 2:
Take the number whose square is less than or equal to given number i.e .
So, is the perfect square of number and is below .
Step 3:
Write the number in both divisor and quotient place, such that when multiplied by gives .
Subtract from , we will get remainder .
Step 4:
Next carry down two zeros and write down after and take the decimal point after in the quotient.
Step 5: Now add in divisor to make it . Take a number next to , such that when we multiply the combination with the same number, we get a number which is less than or equal to . Hence, we will take here , such that multiplied by gives , which is less than . Subtract it from now to get the remainder. So, the remainder is .
Step 6: Now again write down two zero’s and repeat step up to places of decimals.
Step 7: Finally, you get the quotient value as that will be non terminating non repeating decimal expansion.