Question

Prove that 5 + 2√3 is irrational.​

Answer 1

Answer:

Answer Expert Verified

5 - 2 √3 = p/q, where p and q are integers, having no common factor except 1 and q ≠ 0. ... 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:

5 is rational but 2√3 is irrational.

because 5 is written as 5/1

2√3=√2×√2×√3

=√2×2×3

=√12 is irrational