Question

prove 2 + √3 is irrational​

Answer 1

Answer:

do the square of and as follows

Answer 2

Step-by-step explanation:

Let us suppose that 2 + √3 as rational.

Here, 2 + √3 which is just equals to the a / b.

=> 2+√3=a/b

Now, exchange the place of a/b.

∴2-a/b=-√3 or √3=a/b-2

=> √3=a/b-2

=> √3=a-2b/b

Since, a and b are positive integers

Therefore, a-2b/b is rational

=> √3 is rational

But as we know that √3 is irrational

=> 2+√3 is irrational

Therefore, 2 + √3 is irrational number.