Question

Prove that root 5 + 3 is an irrational

Answer 1

Answer:

√5+3

Let us assume that √5+3 is a rational number then we can find a and b co-prime where b ≠0

√5+3=a/b

√5=a/b-3

√5=a-3b/b

√5=integer -3×integer /integer

[subtraction , multiplication and division of integers is rational number]

√5=rational number

This contradicts the fact that √5+3 is irrational .

This contradiction has arisen due to our wrong supposition that √5+3 is rational number .

∴√5+3 is irrational number.

Answer 2

The ans is attached below.Make sure to look the answer.Thank you and byebye.