sqrt2+sqrt6/sqrt(2+sqrt3)化简等于多少,麻烦下
问题描述:
sqrt2+sqrt6/sqrt(2+sqrt3)化简等于多少,麻烦下
答
sqrt2+sqrt6/sqrt(2+sqrt3)
=sqrt2+sqrt(6/(2+sqrt3))
=sqrt2+sqrt(6*(2-sqrt3))
=sqrt2+sqrt3*(sqrt3-1)
=sqrt2-sqrt3+3