Prove that root 5 is a irrational

1.	Prove that root 5 is a irrational
Answer» Let✓5 be rationalWhose simplest form is a/b So, ✓5=a/b So, 5=a^2/b^2So, a^2=5b^2Here,5b^2 is divisible by 5 So, a^2is also divisible by 5 So,5is a factor of aNow, let\'s a=5cSo, ( 5c)^2=5b^2 25c^2=5b^2 5c^2=b^2Her,5c^2is divisible by 5So,b^2is also divisible by 5So,b is common factor for a And bSo our supposison is wrongHence✓5is irrational. Prove that root 5 is irrational

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