Question

Check whether (2 root 3 + root 5)(2 root 3 + root 5) is rational or irrational justify your answer

Answer 1

Step-by-step explanation:

$(2 \sqrt{3} + \sqrt{5} ) \times (2 \sqrt{3} + \sqrt{5} ) \\ 2 \sqrt{3} (2 \sqrt{3} + \sqrt{5} ) + \sqrt{5} (2 \sqrt{3} + \sqrt{5} ) \\ 12 + 2 \sqrt{15} + 2 \sqrt{15} + 5 \\ 17 + 4 \sqrt{15} \\ \\ so \: it \: is \: irrational...$