SOLUTION: "Between which 2 consecutive inetgers is the square root of 471 located?" I dont know how to find the square root for such a large number. I also dont know how to do the first p

Question 187664: "Between which 2 consecutive inetgers is the square root of 471 located?"
I dont know how to find the square root for such a large number. I also dont know how to do the first part. Please help.
Thank you

Found 2 solutions by Earlsdon, jim_thompson5910:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start by writing down a few squares of numbers:

You can see by inspection that the given number of 471 lies between 441 and 484, so this indicates that the lies between and .
The answer is 21 and 22
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since we know that , this means that (just add 2 zeros)

So this means that and (use either a calculator or multiply out by hand)

Since , this means that (apply the square root to each side) which then becomes

So the square root of 471 is in between the integers 21 and 22.

Note: which means that this number is greater than 21 but less than 22.
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