Question

show that (2+√3)(2-√3)(5+√2) is a rational number

Answer 1

$(2 + \sqrt{3} )(2 - \sqrt{3} )(5 + \sqrt{2} ) \\ = > \: (4 - 2 \sqrt{3} + 2 \sqrt{3} - 3)(5 + \sqrt{2} ) \\ = > (4 - 3)(5 + \sqrt{2}) \\ = > (1)(5 + \sqrt{2} ) \\ = > 5 + \sqrt{2}$
This is ur final answer