Question

1.根号下2分之1-根号下18-2倍根号3分之1+根号8加5分之1倍的根号75=?

Answer 1

原式=√(1/2)-√18-2√(1/3)+√8+(1/5)√75

=√(2/4)-√(9×2)-2√(3/9)+√(4×2)+(1/5)√(25×3)

=√2/√4-√9×√2-2√3/√9+√4×√2+(1/5)×√25×√3

=(√2)/2-3√2-(2√3)/3+2√2+√3

=[(√2)/2-3√2+2√2]+[-(2√3)/3 +√3]

=-(√2)/2 +(√3)/3