Question

6√125а-2√80а+3√180а Упростите выражение

Answer 1

$6sqrt{125}a-2sqrt{80}a+3sqrt{180}a=\\=6sqrt{5^2cdot 5}a-2sqrt{2^4cdot 5}a+3sqrt{6^2cdot5}a=\\=6cdot 5sqrt5a-2cdot 2^2sqrt5a+3cdot 6sqrt5a=\\=(30sqrt5-8sqrt5+18sqrt5)cdot a=40sqrt5a$