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Prove that root 5 is a …

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Prove that root 5 is a irrational

Posted by Tushar Jain 6 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Aman Raza 6 years, 2 months ago

Let✓5 be rational Whose simplest form is a/b So, ✓5=a/b So, 5=a^2/b^2 So, a^2=5b^2 Here,5b^2 is divisible by 5 So, a^2is also divisible by 5 So,5is a factor of a Now, let's a=5c So, ( 5c)^2=5b^2 25c^2=5b^2 5c^2=b^2 Her,5c^2is divisible by 5 So,b^2is also divisible by 5 So,b is common factor for a And b So our supposison is wrong Hence✓5is irrational.

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Pankaj Gautam 6 years, 2 months ago

Prove that root 5 is irrational

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CBSE > Class 10 > Mathematics