根号下6+4倍根号2怎样化简为2+根号2

问题描述:

根号下6+4倍根号2怎样化简为2+根号2

根号下6+4倍根号2
=根号(4+4根号2+2)
=根号(2^2+2*2*根号2+根号2^2)
=根号(2+根号2)^2
=2+根号2