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Comment on Properties of Roots
If x is a positive integer,
(1) √(4x) is an integer.
(2) √(3x) is not an integer.
Here's my step-by-step
Here's my step-by-step solution: https://gmatclub.com/forum/if-x-is-a-positive-integer-is-x-1-2-an-intege...
Cheers,
Brent
Hello Tolu, am also study for
Hi Brent! I picked the wrong
https://gmatclub.com/forum/if-x-is-a-positive-integer-is-x-1-2-an-integer-88994.html
Question link: https:/
Question link: https://gmatclub.com/forum/if-x-is-a-positive-integer-is-x-1-2-an-intege...
Here's my full solution: https://gmatclub.com/forum/if-x-is-a-positive-integer-is-x-1-2-an-intege...
Cheers,
Brent
Hi Brent,
Looking at your solution for this question.
https://gmatclub.com/forum/if-x-and-y-are-positive-integers-less-than-266628.html
Great explanation again. I can see for statement 1 you have suggested solving it out. I just modified my approach slightly, its the same answer but just checking if my approach is right.
√x+√y= √x+y
Square both sides
(x+y)+2xy=(x+y)
since x and y are positive integers, the minimum value will be x=1,y=1
so 2xy will be at least 2*1*1=2
This shows LHS is greater by RHS..so not true
Question link: https:/
Question link: https://gmatclub.com/forum/if-x-and-y-are-positive-integers-less-than-26...\
Good idea, but there is one small error in your approach.
When we take: √x + √y= √(x+y)
And square both sides, we get: (x+y) + √(2xy) = (x+y) [your solution doesn't have √(2xy)]
Otherwise, your logic is great.
Cheers,
Brent
https://gmatclub.com/forum/1
I'm stupid enough to ignored the root so I got 10000....
i will keep this noted.
Question link: https:/
Question link: https://gmatclub.com/forum/1-199916.html
The good thing is that the mistake happened while practicing (not during the real deal!)
Hello,
I'm writing to you to kindly ask in which module I can find this video (and tips like this one) related to the first exercice:
https://www.youtube.com/watch?v=D__dWwmgq2w&t=7s
Thanks,
That video can be found here:
That video can be found here: https://www.gmatprepnow.com/module/general-gmat-strategies/video/1113
Here are some similar mental math videos:
- Dividing by 5: https://www.gmatprepnow.com/module/general-gmat-strategies/video/1112
- Squaring numbers with units digit 5: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1024
- finding x% of y: https://www.gmatprepnow.com/module/gmat-arithmetic/video/1076
Cheers,
Brent