Prove that √7 is an irrational number.

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asked Jan 29, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 942
Prove that √7 is an irrational number.

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answered Jan 29, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 29, 2018 by sforrest072
 
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Let us assume, to the contrary, that ,√7 is a rational number. Then, there exist co-prime  positive integers a and b such that

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