SOLUTION: Hi? Can you help me solve this question? Seems really simple but it is not.... " Given that 2744 dived by N " IS a perfect square, find the value(s) of N. OH no!! What shoul

Question 938692: Hi? Can you help me solve this question? Seems really simple but it is not....
" Given that 2744 dived by N " IS a perfect square, find the value(s) of N.
OH no!! What should I do?!
Found 3 solutions by LinnW, Alan3354, MathLover1:
Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
= perfect square
There must be at least one n such that
= for the first statement to be true
So, =
Using cross products,
= 2744 and
N =
Factoring 2744 gives us 2*19*73
For N to be an integer ( required to be a perfect square ) ,
n^2 must divide into 2*19*73 without remainder.
For this to be true, there need to be at least two duplicate
integers in the numerator.
This means that there does not exist an integer N
such that is a perfect square.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
" Given that 2744 dived by N " IS a perfect square, find the value(s) of N.
-----------------
Factor 2744
---
2744 = 2*2*2*7*7*7
Then pick any combinations of the 6 factors that have and even # of 2's and 7's (including 0).
--> 2*2*7*7 = 196
N = 14
--> 7*7 = 49
N = 56
--> 2*2 = 4
N = 686
---
Also N = 2744
======================
N = 2744*4 --> 1/4, a perfect square if you allow fractions.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a perfect square is a number that has a whole number as its square root. (i.e. is equal to times )

so,
which is a perfect square because
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