Question

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

Answer 1

Answer:

heya mate❤

here is ur answer

given-√3 is an irrational number

to prove-(2 + √3) is an irrational numbers

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

See attachment for solution