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[latex]1)2/(x ^{1/4} -y ^{1/4} )+2/( x^{1/4} +y ^{1/4} =[/latex][latex]2(x ^{1/4} +y ^{1/4} +x ^{1/4} -y ^{1/4} )/( x^{1/2} -y ^{1/2} )=[/latex][latex]4x ^{1/4} /( x^{1/2} -y ^{1/2} )[/latex] [latex]2)1/ ^{1/2} -1/y ^{1/2} =(y ^{1/2} - x^{1/2} )/(xy) ^{1/2} [/latex] [latex]3)(y ^{1/2} - x^{1/2} )/(xy) ^{1/2} :6/ x^{1/4} y ^{1/2} =[/latex][latex](y ^{1/2} -x ^{1/2} )/(xy) ^{1/2} *x ^{1/4}y ^{1/2} /6=(y ^{1/2} - x^{1/2} )/6x ^{1/4} [/latex] [latex]4)4x ^{1/4} /(x ^{1/2} -y ^{1/2} )*(y ^{1/2} -x ^{1/2} )/6x ^{1/4} =-2/3[/latex]