Question

Prove that 3 + 255 is irrational.​

Answer 1

Step-by-step explanation:

We know √5 is an irrational number

Let  3 + 2√5 be a rational number ,

3 + 2√5 = r , where r is any rational

√5 = (r - 3)/2

 

This is an absurd result because LHS is irrational and RHS is rational so this is a contradiction to our assumption, hence

3 + 2√5 is an irrational number

I HOPE THIS MAY HELP YOU : )

Answer 2

1. let us assume that 3+2√5

is a irational number

so if we know that is so it is an

irrational number

did it help u