Question

Prove that 2+5√3 is an irrational number.​

Answer 1

Answer:

Here's the ans hope it's helpful for you☺

Step-by-step explanation:

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

Therefore, 2+5√3=a/b (where a and b are co prime)

5√3-a/b-2

5√3-a-2b/b

√3-a-2b/5b

Therefore, a-2b/5b is in the form of a/b which is rational number.

But,this is contradicts the fact is that √3 is irrational number.

Therefore, our assumption is wrong and 2+5√3 is an irrational number.

#its Sayan✌