PROVE THAT 7 ROOT 5 IS AN IRRATIONAL NO.

Answers (1)

To prove a number to be irrational we have to first assume it to be a rational number
Hence 7sqrt5 can be written in a form of fracab where a,b are co-prime and b
eq 0
Rightarrow 7sqrt5=fracab
Rightarrow sqrt5=fraca7b
But here sqrt5 is irrational and fraca7b is rational
But rational 
eq irrational
So here is a contradiction,due to which 7sqrt5 is an irrational number

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