化简2/(5根号2+根号3)

问题描述:

化简2/(5根号2+根号3)

2/(5√2+√3)
=2(5√2-√3)/(5√2+√3)(5√2-√3)=2(5√2-√3)/[(5√2)²-(√3)²]=(10√2-2√3)/47

2/(5根号2+根号3)
=2(5根号2-根号3)/(5根号2+根号3)(5根号2-根号3)
=2(5√2-√3)/(50-3)
=2(5√2-√3)/47