Question

Given that √3 is an irrational number, prove that (2+√3) is an irrational number.​

Answer 1

Step-by-step explanation:

If √3 is an ordinary number and 2 is a rational number and if an irrational number is added to a rational number then the sun is irrational

Answer 2

${\huge {\overbrace {\underbrace{\blue{ANSWER: }}}}}$ 

✴Given:✴ ✴ - √3 is irrational.✴

✴To prove:✴ ✴2 +√3 is irrational✴

✴Proof:

Let 2+√3 be a rational number.

So, 2+√3 = a/b 

√3 = a/b -2 

a/b is a rational number and 2 is a rational number.

We know that Rational number-

rational number= Rational number.

So, a/b -2 is rational.

But √3 is irrational.

This contradicts the fact that rational≠ irrational. 

So, our supposition is incorrect.

Hence, 2+√3 is an irrational number. 

⬆️Hope! it's helps u⬆️