prove that 3 root 4 is an irrational number
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Lrt us assume the opposite
i.e.,3root4 is rational
Hence 3 root 4 can be written in the form a/b where a and b are coprime
Hence 3 root 4=a/b
root 4=a/3b
Here a/3b is rational no
But root 4 is irrational no
But irrational not equal to rational no.
This is a contradiction
Our assumption is incorrect
3 root 4 is irrational no.
i.e.,3root4 is rational
Hence 3 root 4 can be written in the form a/b where a and b are coprime
Hence 3 root 4=a/b
root 4=a/3b
Here a/3b is rational no
But root 4 is irrational no
But irrational not equal to rational no.
This is a contradiction
Our assumption is incorrect
3 root 4 is irrational no.
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