Question

$sqrt (-frac{5}{2} - frac{3sqrt{3}}{2})^{2} + (frac{5sqrt{3}}{2}) - frac{3}{2})^{2}$

Answer 1

sqrt(25/4+15sqrt(3)/2+27/4+75/4-15sqrt(3)+9/4)=sqrt((25+27+75+9)/4)=

sqrt(136/4)=sqrt(34)