Question

prove that 3root2/4 is an irrational number

Answer 1

Solution :

Let us assume , the contrary , that

3√2/4 is rational .

i.e ., we can find co-primes a and b

( b ≠ 0 ) such that

3√2/4 = a/b

we get √2 = 4a/3b

Since, a and b are integers , 4a/3b

is rational , and so √2 is rational.

But this contradicts the fact that √2

is irrational.

So , we conclude that 3√2/4 is

irrational.

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