I want the answer of it bcuz I want it for my assignment.... plz help me do it..... Question is : find the square root of 3136 using long division method
asked Jul 31, 2017

First split the number into pairs of digits starting from the right (that is, left of the decimal point):

31 | 36.

After the decimal point you can add zeroes in pairs if necessary.

Look at the first pair of digits and find the nearest square lower than 31: answer is 25=5^2.

5 |  6

31 | 36

25

106 )     6   36

6   36

0

Subtract 25 from 31 to leave 6, and bring down the next pair of digits.

We double the 5 in our result to get 10. We now form a "divisor" made up of this result and another digit, denoted by X, so that we have the number 10X. We choose X such that 10X times X is as close as possible to 636. If we picked X=5 we would get the product 105*5=525. Too small, maybe. Try 6: 106*6=636. Exactly right! so the next digit in the answer is 6 and when we subtract 636 from 636 we get zero, so the square root of 3136=56.

If there had been a remainder we would have had to continue the process by doubling the last digit of the "divisor" and then selecting an X value as before.

answered Jul 31, 2017 by Top Rated User (588,900 points)
It Is
answered Jul 5 by anonymous