Question

Prove that 3root3/5 is irrational.

Answer 1

HEY MATE!


HERE IS YOUR ANSWER:

PROOF:

We know that root 3 is irrational.

Now, let us assume to the contrary that 3 root3/5 is rational and hence 3 root 3/5 is equal to a/b where a and b are two co-primes where they have no common factor.

So, 3 root3/5=a/b
3 root 3=a/b×5
3 root 3 =5a/b
root 3=5a/b÷3
root 3 =5a/3b

Hence root 3 is rational but this contradicts the fact that root 3 is irrational .

Thus our assumption that 3 root3/5 is rational is wrong and hence 3 root3/5 is irrational.


HOPE IT HELPED ^_^