Question

prove that 3+2√5 is an irrational​

Answer 1

Answer:

Given: 3 + 2√5

To prove: 3 + 2√5 is an irrational number.

Step-by-step explanation:

Proof:  

Let us assume that 3 + 2√5 is a rational number.  

So, it can be written in the form a/b

3 + 2√5 = a/b  

Here a and b are coprime numbers and b ≠ 0  

Solving 3 + 2√5 = a/b we get,

=>2√5 = a/b – 3

=>2√5 = (a-3b)/b

=>√5 = (a-3b)/2b  

This shows (a-3b)/2b is a rational number. But we know that √5 is an irrational number.  

So, it contradicts our assumption. Our assumption of 3 + 2√5 is a rational number is incorrect.  

3 + 2√5 is an irrational number  

Hence proved

Answer 2

Answer:

hi

Step-by-step explanation:

thanks for following

r u free

https://brainly.in/question/48511697?utm_source=android&utm_medium=share&utm_campaign=question

for reply use this