Question

化简：1/（4+√（59+30√2））+1/（3-√（66-40√2））结果是

Answer 1

59+30根号2=9+50+2*3*5根号2=(3+5根号2)方

根号(59+30根号2)=3+5根号2

1/(4+3+5根号2)=(7-5根号2)/(49-50)=5根号2-7

66-40根号2=16+50-2*4*5根号2=(4-5根号2)方

根号(66-40根号2)=5根号2-4

1/(3-5根号2+4)=(7+5根号2)/(49-50)=-7-5根号2

原式=5根号2-7-7-5根号2=-14