Question

(1 + √3)² – (1 – √3)² is :

Prove that (5√3 + 2/3) is an irrational number given that √3 is an irrational number.

Prove that (4√2 + 5/3) is an irrational number given that √2 is an irrational number.

A rational number between √2 and √3 is