Question

prove that 3 root 2 divided by 5 is an irrational number

Answer 1

Let (3√2)/5 be a rational number in the form p/q.

⇒ (3√2)/5 = p/q

⇒3√2 = 5p/q

⇒√2 = 5p/3q

Here, 5p/3q is a rational number because it is expressed in form of p/q. This means that √2 rational.

But this contradicts with the truth of √2 of being irrationnal number. Therefore, (3√2)/5 is an irrational number.

Q.E.D

Answer 2

hey mate , here's your answer.....

see the attachment

hope this helps...