The Square root of 50 lies between what two integer values?

The square root of 50 = 7.0710678118654755 so does it lie between 6 and 8 or 7 and 8??

Thanks

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- Jul 1st 2009, 05:28 AMSailee316Square roots between two integer values?
The Square root of 50 lies between what two integer values?

The square root of 50 = 7.0710678118654755 so does it lie between 6 and 8 or 7 and 8??

Thanks - Jul 1st 2009, 05:54 AMskeeter
- Jul 1st 2009, 06:17 AMSailee316
I still don't understand. Which two integers does square root of 50 lie between?

Thanks - Jul 1st 2009, 06:22 AMskeeter
- Jul 1st 2009, 08:54 AMHallsofIvy
- Jul 1st 2009, 09:00 AMJazzuaQuote:

I still don't understand. Which two consecutive integers does square root of 50 lie between?

The question asked*the square root of*50 lies between which two integer values.

the square root of 50 is 7.07. so rephrase the question. 7.07 lies between which two integer values.

well it's greater than 7 and lesser than 8.

so it lies between 7 and 8. - Jul 2nd 2009, 02:03 AMSailee316
ok i think i get it now.

Ö 150 lies between what two integer values?

Is it 12 and 13?? If so how?

Also how did you get 7 ^2 and 8^2 ?

Thanks - Jul 2nd 2009, 02:18 AMyeongil
- Jul 2nd 2009, 03:28 AMCaptainBlack
- Jul 10th 2009, 02:48 AMHallsofIvy
Are you serious? you get $\displaystyle 7^2$ and $\displaystyle 8^2$ by

**multiplying**! $\displaystyle 7^2= (7)(7)= 49$ and $\displaystyle 8^2= (8)(8)= 64$

I also know that $\displaystyle 12^2= (12)(12)= 144< 150$ and that $\displaystyle 13^2= (13)(13)= 169> 150$. Since 150 lies between 144 and 169, its square root lies between 12 and 13.

As Captain Black pointed out, You can pick any integer whose square is less than 150 and any (positive) integer whose square is larger than 150 and say that the square root of 150 lies between them. But because you specifically asked "what**two**integers", it was clear that you wanted a single answer and the most reasonable interpretation of that is the two integers closest to that square root.