Question

prove 2+√2/4 is irrational number ​

Answer 1

$\huge{\boxed{\mathcal{\red{\underline{SOLUTION}}}}}$

Hi there !

Lets assume that 2√3-4 is rational number

Let , 

2√3-4 = r , where r is a rational no:

2√3 = r + 4

√3  = r + 4/2

Here ,

RHS is purely rational

But , LHS is irrational

This is a contradiction.

Hence , our assumption was wrong.

Therefore ,

2√3-4 is an irrational number

Answer 2

Answer:

Lets assume that 2√3-4 is rational number

Let ,

2√3-4 = r , where r is a rational no:

2√3 = r + 4

√3 = r + 4/2

Here ,

RHS is purely rational

But , LHS is irrational

This is a contradiction.

Hence , our assumption was wrong.

Therefore ,

2√3-4 is an irrational number