Question

Упростите выражение:
(√15 + 10) х 2√5 - 5√12

Answer 1

Решение:

$(\sqrt{15}+10)*2\sqrt{5}-5\sqrt{12}=\sqrt{15}*2\sqrt{5}+10*2\sqrt{5}-5\sqrt{12}=2\sqrt{15*5}+20\sqrt{5}-5\sqrt{12}=2\sqrt{75}+20\sqrt{5}-5\sqrt{12}=2\sqrt{25*3}+20\sqrt{5}-5\sqrt{4*3}=2*5\sqrt{3}+20\sqrt{5}-5*2\sqrt{3}=10\sqrt{3}+20\sqrt{5}-10\sqrt{3}=20\sqrt{5}$