Question

calculeaza : (2√3 +3√2) x (3√3+2√2)

Answer 1

Conform formulei prescurtate (a+b)(c+d):
(2√3 +3√2) x (3√3+2√2) = 2√3 x 3√3 + 2√3 x 2√2 + 3√2 x 3√3 + 3√2 x 2√2 = $6 (\sqrt{3})^{2} + 4 \sqrt{6} + 9 \sqrt{6} +6 (\sqrt{2})^{2} =$6 x 3 + 4√6 + 9√6 + 6 x 2 = 18 + 15√6 + 12 = 30 + 15√6