Question

Prove that 3+2√3 is irrational number.​

Answer 1

Answer:

A rational number can be written in the form of p/q. p,q are integers then (p-6q)/2q is a rational number. ... Therefore,3+2√3 is an irrational number

Step-by-step explanation:

Prove 3+2  

5

​  

 is irrational.

→ let take that 3+2  

5

​  

is rational number

→ so, we can write this answer as

⇒3+2  

5

​  

=  

b

a

​  

 

Here a & b use two coprime number and b



=0.

⇒2  

5

​  

=  

b

a

​  

−3

⇒2  

5

​  

=  

b

a−3b

​  

 

∴  

5

​  

=  

2b

a−3b

​  

 

Here a and b are integer so  

2b

a−3b

​  

 is a rational number so  

5

​  

 should be rational number but

5

​  

 is a irrational number so it is contradict

- Hence 3+2  

5

​  

 is irrational.

In this before or after 5 please add this symbol {root}. I forgot to add it