Question

Упростить выражение с корнями

Answer 1

$tt 8sqrt{3}-5sqrt{12}+4sqrt{75}=8sqrt{3}-5sqrt{4cdot3}+4sqrt{25cdot 3}=\ \ =8sqrt{3}-5sqrt{2^2cdot3}+4sqrt{5^2cdot3}=8sqrt{3}-5cdot2sqrt{3}+4cdot5sqrt{3}=\ \ =8sqrt{3}-10sqrt{3}+20sqrt{3}=18sqrt{3}$