Question

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

Answer 1

Propiedad

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

$(5 \sqrt{2} + 2 \sqrt{3} )(5 \sqrt{2} - 2 \sqrt{3} ) = (5 \sqrt{2} )^{2} - (2 \sqrt{3})^{2} \\ = {5}^{2} {( \sqrt{2})}^{2} - {2}^{2} ( \sqrt{3} )^{2} \\ = 25(2) - 4(3) \\ = 50 - 12 \\ 38$