√﹙y/x﹚+√﹙x/y﹚
=√﹙xy/x²﹚+√﹙xy/y²﹚
=√xy﹙1/|x|+1/|y|﹚
当x,y>0时,
√﹙y/x﹚+√﹙x/y﹚
=√3﹙1/x+1/y﹚
=√3﹙x+y﹚/﹙xy﹚
=√3﹙x+y﹚/3
当x,y<0时,
√﹙y/x﹚+√﹙x/y﹚
=√3﹙﹣1/x-1/y﹚
=﹣√3﹙x+y﹚/﹙xy﹚
=﹣√3﹙x+y﹚/3
√﹙y/x﹚+√﹙x/y﹚
=√﹙xy/x²﹚+√﹙xy/y²﹚
=√xy﹙1/|x|+1/|y|﹚
当x,y>0时,
√﹙y/x﹚+√﹙x/y﹚
=√3﹙1/x+1/y﹚
=√3﹙x+y﹚/﹙xy﹚
=√3﹙x+y﹚/3
当x,y<0时,
√﹙y/x﹚+√﹙x/y﹚
=√3﹙﹣1/x-1/y﹚
=﹣√3﹙x+y﹚/﹙xy﹚
=﹣√3﹙x+y﹚/3