Question

prove that 3 + 2 root 5 is irrational​

Answer 1

Answer:

refer 9th std book it will help you see it in lesson irrational no.

Answer 2

Answer: let us assume that 3+2 root under 5.

p/q=3+2root under 5 ( where p and q are co-prime integers and is not equal to 0)

Squaring both side

(p/q)^2 =(3+2root under 5)^2

P^2/q^2 =9+20+12 root under 5

P^2/q^2-29=12 root under 5

P^2/12q^2-29= root under 5

We know that root under 5 is an irrational Number.

But it contradicts our statement that 3+ 2root under 5 is a rational number.

So, 3+ 2 root under 5 is an irrational Number.