analysis

[Masexy]

prove dat m/n+p/q(root 2) is irrational

 

[Ishuda]

prove dat m/n+p/q(root 2) is irrational

Hint: The rationals are closed under addition (subtraction) and multiplication (division) so that if r is rational so is a*(r-b) where a and b are rational.

 

[lookagain]

prove dat m/n+p/q(root 2) is irrational

Type out words such as "that" in English, not "dat":

"Prove that m/n + (p/q)[square root(2)] is irrational."

There needs to be stated restrictions for the variable constants.

\(\displaystyle m, n, p, q \ \ belong \ \ to \ \ the \ \ set \ \ of \ \ integers.\)

\(\displaystyle None \ \ of \ \ n, p, q \ \ can \ \ equal \ \ 0.\)

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You can expand post # 2 and go to this link:

http://mathbitsnotebook.com/Algebra1/RatIrratNumbers/RNRationalIrrationalSumProduct.html

You could first show (from that link for instance) that the product (p/q)[square root(2)] is
irrational by contradiction.

Second, you could show that that irrational result, added to the rational number m/n,
again by that link, is irrational, also done by contradiction.

 

[Masexy]

lookagain; i've gotten it, thanks