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 in Other Math Topics by Hamood Navas

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

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


 106 )     6   36

               6   36


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 Rod Top Rated User (552,780 points)
It Is
answered Jul 5 by anonymous

Related questions

0 answers
1 answer
asked Apr 11, 2014 in Other Math Topics by anonymous | 796 views
1 answer
asked Jun 14, 2013 in Word Problem Answers by anonymous | 386 views
1 answer
1 answer
asked Dec 2, 2013 in Algebra 2 Answers by anonymous | 103 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,213 questions
85,312 answers
68,747 users