Question

prove that 3 + √5 is irrational​

Answer 1

Answer:

# Proof by Contraction Method applied #

Step-by-step explanation:

Hey Mate........

Let us assume that 3+ √5 is a rational number.

Their exist rationals 'a ' and 'b' such that they are co- prime.

3+√5 = a/b

By Cross Multiplication :

3a + √5b = a

√5b = a - 3a

√5 b= -2a

√5 = -2a / b

This implies that √5 is a rational number.

This contradiction has arisen because of our wrong assumption that 3+√5 is a rational.

Therefore,we Conclude that 3+√5 is an irrational number.

Thanks:)

Answer 2

Answer:

Answer is Given By The Above Mate......