Question

prove that 3√5 is irrational number​

Answer 1

Answer:

Let us assume that 3√5 is rational .

Therefore ; 3√5 = p/q

Where p and q are real numbers .

√5=(p/q)/3

p is rational .

q is rational.

3 is rational .

But √5 is irrational .

It means that (p/q) /3 is also irrational .

This contradicts the fact that they are rational .

Conclusion : 3√5 is irrational.