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√5 is irrational .prove (3-√5)is irrational

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√5 is irrational .prove (3-√5)is irrational

Posted by Logan Logan 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Puna Ram 6 years, 11 months ago

Let 3-_/5 be rational and co prime 3-_/5=a/b Therefore,3- a/b=_/5 _/5 = 3-a/b = 3b - a/b Since a and b are integers , we get 3 - a/b is rational, and so _/5 is rational But this contradicts the fact that _/5 is irrational. This contradiction has arison because of our incorrect assumption that 3 -_/5 is rational. So, we conclude that 3-_/5 is irrational.

1Thank You

Prerika Lamba 6 years, 11 months ago

See in ncert book in chapter 1examples

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Posted by Hari Anand 6 months, 1 week ago

CBSE > Class 10 > Mathematics