Question

prove that 3+2
$\sqrt{5}$
​

Answer 1

Answer:

3+2√5 = p/q

2√5 = p/q - 3

2√5 = p - 3q/q

√5 = p - 3q/q /2

√5 = p - 3q/q(1/2)

√5 = p - 3q/2q

p - 3q/2q is rational number

√5 is rational number

Our assumption√5 is rational number is wrong.

Hence 3+2√5 is irrational number