Question

Упростите выражение
1) 1/5√300-4√3/16-√75
2)(3√2-1)(√8+2)

Answer 1

1)
$frac{1}{2}sqrt{300}-4sqrt{frac{3}{16}}-sqrt{75}=sqrt{3}(frac{1}{2}sqrt{100}-4sqrt{frac{1}{16}}-sqrt{25})=\=sqrt{3}(frac{10}{2}-frac{4}{4}-5)=-sqrt{3}$


2)
$(3sqrt{2}-1)(sqrt{8}+2)=3sqrt{2*8}+6sqrt{2}-sqrt{2}-2=3*4-5sqrt{2}-2=\=10-5sqrt{2}$