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Prove that 3root2 is irrational​

Answer»

<P>Answer:

Let us CONSIDER that 3root2 is a rational number. It can be written in the form p/q (p and q are co primes)

p/q = 3root2

p/3q = root2

Now,

p/3q = integer/interger

= rational number

But, this contradicts the fact that root2 is IRRATIONAL.

Therefore, our ASSUMPTION that 3root2 is rational is WRONG.

Hence, 3root2 is an irrational number.

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