Question

add (2√2+5√3) and (√2-3√3)​

Answer 1

$(2 \sqrt{2} + 5 \sqrt{3} ) + ( \sqrt{2} - 3 \sqrt{3} ) \\ = 2 \sqrt{2} + 5 \sqrt{3} + \sqrt{2} - 3 \sqrt{3} \\ = 2 \sqrt{2} + \sqrt{2} + 5 \sqrt{3 } - 3 \sqrt{3} \\ = (2 + 1) \sqrt{2} + (5 - 3) \sqrt{3} \\ = 3 \sqrt{2} + 2 \sqrt{3}$