prove that(5+3√2)is irrational
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(5+ 3√2) is irrational
as, 5 + 3√2 = a/b where a and b are coprime integers and b is not equal to 0
5 + 3√2
= 3√2= a/b -5
= 3√2 = a - 5b / b
= or √2 = a - 5b / 3b
where √2 is irrational
and a - 5b / 3b is rational
hence( 5 + 3√2 ) is irrational
Hence proved....
hope it is helpful.....
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