Question

prove that (✓2 + ✓3) is irrational​

Answer 1

Answer:

since, a, b are integers, (a2 + b2)/2ab is a rational number. √3 is a rational number. It contradicts to our assumption that √3 is irrational. Thus √2 + √3 is irrational.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

To prove: √2 + √3 is an irrational number. Proof: Letus assume that √2 + √3 is a rational number. Since, a, b are integers, (a2 + b2)/2ab is a rational number.