Question

³√((5-2√3)^2+(4√75)-10)

Answer 1

$sqrt[3]{(5-2 sqrt{3})^2+4 sqrt{75}-10} = sqrt[3]{25-20 sqrt{3} +4*3+20 sqrt{3} -10}=$
$=sqrt[3]{25+12-10}= sqrt[3]{27}=3$