Square root by Long Division Method

 Square root by Long Division Method

Example1

1)find the square root of 14996

Step 1

Separate the digits from right to left once in two digits

                            1 49 96 

here, we got 1 before the first space

Step2

Now we have to find the square of a number such that it must be <=1

here, 1*1 =1

now, let we do this by long division

here, we subtracted and got the remainder as 0,

Step 3

Now we have to get down the next pair (49) and quotient 1 as to be multiplied by 2.

Step 4

Now we have to take same number at the two places where we mentioned _

and then we have to find the product where that product must be = or < 49.

 then subtract and we got the remainder 5

Step 5

Again bring down the next pair and repeat from step 3. that is multiply the quotient by 2.

    

Hence Square root of (14996) = +/- 122 with remainder 112

Example 2

2) find the square root of 119025

Step1

11 90 25

Step 2

Step 3

  we multiplied quotient 3 by 2=6

step 4

Step 5

Hence, square root (119025) = +/- 345