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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

1 answers

Neel Menghani 4 years, 7 months ago

Let us assume that 7√5 is rational number Hence 7√5 can be written in the form of a/b where a,b(b is not equal to 0) are co-prime ⟹7√5=a/b ⟹√5=a/7b But here √5 is irrational and a/7b is rational as Rational is not equal to Irrational This is a contradiction so 7√5 is a irrational number

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