Question

prove that 2 minus 3 under root 5 is irrational​

Answer 1

Answer:

latest consider 2-3√5 is a rational number so it can be written in the form of p by q where p and q are integers and q is not equal to 0.

2-3√5 = p/q

-3√5 = p/q - 2

-3√5 = p-2q/q

√5 = -(p-2q/3q)

√5 = 2q-p/3q

√5 is an irrational no. but 2q-p/3q is a rational no.

So, our assumption is wrong.

there is contradiction 2-3√5 is an irrational no.

I hope it will help u