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# Explaination needed

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Senior Manager
Joined: 08 Jan 2009
Posts: 326

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22 Aug 2009, 03:43

If q is a positive integer, is p ^( q/q^1/2) an integer ?

1. q = p^2
2. p is a positive integer

[Reveal] Spoiler:
A

i did not get the explaination.
Manager
Joined: 14 Aug 2009
Posts: 123

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22 Aug 2009, 04:02
tkarthi4u wrote:

If q is a positive integer, is p ^( q/q^1/2) an integer ?

1. q = p^2
2. p is a positive integer

[Reveal] Spoiler:
A

i did not get the explaination.

Can you p ^( q/q^1/2) by math form? you can write in Word, then capture the screen.
I am not sure whether p ^( q/q^1/2) is correctly written.

for 1),
p ^( q/q^1/2)=$$p^(\sqrt{q})$$=$$p^p$$
suff

for 2), not suff.

_________________

Kudos me if my reply helps!

Senior Manager
Joined: 08 Jan 2009
Posts: 326

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23 Aug 2009, 00:26
i didnt get it still.

q >0 so p^2 >0.

so q = 3 p = (3)^1/2 so p^p is no integer.
so q =4 p = 2 then p^p is integer.

Am i doing something wrong over here
Senior Manager
Joined: 27 May 2009
Posts: 268

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23 Aug 2009, 01:04
I also didnt get it ...Here P can be + or -ve. IMO E..

Why i dint go with C is because .if q=4, p = -2

here so no is -2 ^ 2 = int

q=5 p=-root 5 or +root 5

---> not integer..

Re: Explaination needed   [#permalink] 23 Aug 2009, 01:04
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# Explaination needed

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