prove that 3 + √7
is irrational number
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if possible ,let 3√7be rational number.
then 3√7 is rational ,1/3 is rational
(1/3× 3√7) is rational. [ because products of two rationals is rational]
√7 is rational.
This contradicts the fact that √7 is irrational
This contradiction arises by assuming that 3√7 is rational.
Hence,..
3√7 is irrational is proved.
I hope it will be work for you........
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