Quick way to calculate square root of large number?

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Sat Jul 07, 2012 10:54 am

by sam4444 » Sat Jul 07, 2012 11:05 am
its quite simple

576
Step 1 put the slash after 2 digits starting from the right 5/76
Step 2 see the first digit from the left i.e 5 so of course the first digit has to be 2 as 2^2= 4
(5 is between 2^2 and 3^2 3 is not possible as it is = 9)
Step 3 see the last digit i.e 6 it is only possible in 4^2 or 6^2 in this case, it has to be 4 because
576 is less than 25^2 that is 625 so definitely it is little less than 25^2 so 24 in the correct
answer.
Last edited by sam4444 on Sat Jul 07, 2012 11:08 am, edited 1 time in total.

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Sat Jul 07, 2012 10:54 am

by sam4444 » Sat Jul 07, 2012 11:06 am
its quite simple

576
Step 1 put the slash after 2 digits starting from the right 5/76
Step 2 see the first digit from the left i.e 5 so of course the first digit has to be 2 as 2^2= 4
(5 is between 2^2 and 3^2 3 is not possible as it is = 9)
Step 3 see the last digit i.e 6 it is only possible in 4^2 or 6^2 in this case, it has to be 4 because
576 is less than 25^2 that is 625 so definitely it is little less than 25^2 so 24 in the correct
answer.
Last edited by sam4444 on Sat Jul 07, 2012 11:09 am, edited 1 time in total.

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Sat Jul 07, 2012 10:54 am

by sam4444 » Sat Jul 07, 2012 11:06 am
sam4444 wrote:its quite simple

576
Step 1 put the slash before 2 digits starting from the right 5/76
Step 2 see the first digit from the left i.e 5 so of course the first digit has to be 2 as 2^2= 4
(5 is between 2^2 and 3^2 3 is not possible as it is = 9)
Step 3 see the last digit i.e 6 it is only possible in 4^2 or 6^2 in this case, it has to be 4 because
576 is less than 25^2 that is 625 so definitely it is little less than 25^2 so 24 in the correct
answer.

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Sat Jul 07, 2012 10:54 am

by sam4444 » Sat Jul 07, 2012 11:07 am
sam4444 wrote:
sam4444 wrote:its quite simple

576
Step 1 put the slash after 2 digits starting from the right 5/76
Step 2 see the first digit from the left i.e 5 so of course the first digit has to be 2 as 2^2= 4
(5 is between 2^2 and 3^2 3 is not possible as it is = 9)
Step 3 see the last digit i.e 6 it is only possible in 4^2 or 6^2 in this case, it has to be 4 because
576 is less than 25^2 that is 625 so definitely it is little less than 25^2 so 24 in the correct
answer.