Question

Prove that 5 - 2√3 is irrational.

Answer 1

Since, 5q - p/2q is a rational number as p and q are integers. Therefore, √3 is also a rational number, which contradicts our assumption. Thus, Our supposition is wrong. Hence, 5 - 2 √3 is an irrational number.

Answer 2

Answer:

Since, 5q - p/2q is a rational number as p and q are integers. Therefore, √3 is also a rational number, which contradicts our assumption. Thus, Our supposition is wrong. Hence, 5 - 2 √3 is an irrational number.