3-5√2 is an irrational number
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To prove = 3-5√2 is irrational no.
Solution :-
Assume that 3-5√2 is rational no. then it can be written in p/q form where q is not equal to 0.
3-5√2 = p/q
5√2 = p/q -3
5√2 = p - 3q/q
√2 = p-3q/ 5q
This give that √2 is a rational no. but the fact is √2 is irrational therefore this contract our assumption and prove that 3-5√2 is irrational no.
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