计算下列各题:(1)sqrt((1)/(4))×sqrt(144);(2)3sqrt(2)×5sqrt(8);(3)5sqrt(x)•6sqrt((x)^3);
已知x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)),y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)),求3
2.根式计算.-|||-(1) sqrt (dfrac {4)(25)} ;-|||-(2) sqrt ({11)^2+((4sqrt {3))}^2}-|||
(7) sqrt ({11)^2+((4sqrt {3))}^2}
(5)dfrac (6+2sqrt {3)}(2)
若sin2α=(sqrt(5))/(5),sin(β-α)=(sqrt(10))/(10),且α∈[(π)/(4),π],β∈[π,(3π)/(2)],则α+β
[ sqrt (3),2] -|||-C. [ -2,-sqrt (3)] D. [ -2,-sqrt (3)] cup [ sqrt (3),2]
9.lim_(xtoinfty)x^(8)/(5)(sqrt[5](x^2+2)-sqrt[5](x^2+1))=_.9.$\lim_{x\to\infty}x
9.lim_(xtoinfty)x^(8)/(5)(sqrt[5](x^2+2)-sqrt[5](x^2+1))=9.$\lim_{x\to\infty}x^{
=dfrac (sqrt {5)}(2)