Question

simplify (2√5-√3)(3√5+√2)​

Answer 1

$(2√5-√3)(3√5+√2) \\ = 2 \sqrt{5} (3 \sqrt{5} + \sqrt{2} ) - \sqrt{3} (3 \sqrt{5} + \sqrt{2} ) \\ = 2 \sqrt{5} \times 3 \sqrt{5} + 2 \sqrt{5} \times \sqrt{2} - \sqrt{3} \times 3 \sqrt{5} - \sqrt{3} \times \sqrt{2} \\ = 6 \times 5 + 2 \sqrt{5 \times 2} - 3 \sqrt{5 \times 3} - \sqrt{3 \times 2} \\ = 30 + 2 \sqrt{10} - 3 \sqrt{15} - \sqrt{6}$