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Prove that 7√5 is irrational number

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Prove that 7√5 is irrational number

Posted by Aman Gurjar 4 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Gautam Kumar 4 years, 7 months ago

This is very easy You have to solve it by contradictory method. You have to prove ur statement wrong in this question Let if possible 7√5 is a rational number =7√5=a/b =√5=a/5b both a and b are integers so that a/5b is rational and so √5 is also rational This contradicts the fact that√5 is irrational number. This assumption is wrong so 7√5 is irrational.

3Thank You

Piyush Gupta 4 years, 7 months ago

Let if possible 7√5 is a rational number =7√5=a/b =√5=a/5b both a and b are integers so that a/5b is rational and so √5 is also rational This contradicts the fact that√5 is irrational number. This is due to our wrong assumption So that 7√5 is irrational number. THANK YOU

3Thank You

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CBSE > Class 10 > Mathematics