How do i prove or disprove the following statement:

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veryhappyguy
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How do i prove or disprove the following statement:

Postby veryhappyguy » Fri Feb 26, 2010 5:13 am

There exist positive irrational numbers a and b such that a^b is rational.

My first guess would be that the statement is false, but I do not know how to disprove it. I suck with irrationals
Can anyone help me??

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maggiemagnet
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Re: How do i prove or disprove the following statement:

Postby maggiemagnet » Fri Feb 26, 2010 1:29 pm

Can you use something like

veryhappyguy
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Re: How do i prove or disprove the following statement:

Postby veryhappyguy » Fri Feb 26, 2010 5:43 pm

I'm not sure but 2 is not irrational and the statement says the base and exponent are irrational.

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maggiemagnet
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Re: How do i prove or disprove the following statement:

Postby maggiemagnet » Sat Feb 27, 2010 12:53 pm

Is rational or irrational?


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