`((sqrt(x))^((3)/(5))times(sqrt(x))^((2)/(5))+2sqrt(x))/(2(sqrt(x))^((2)/(3))times(sqrt(x))^((1)/(3))+sqrt(x))=`

2sqrt(3)x^(2)-5x+sqrt(3)

2sqrt(3)x^(2)+x-5sqrt(3)=0

2sqrt(3)x^(2)+x-5sqrt(3)

sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1))>(3)/(2)

sqrt(5)x^(2)+2x-3sqrt(5)

If (sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))=3 then x=1)sqrt((2)/(3)2)sqrt((1)/(3))3)sqrt((2)/(5))sqrt((3)/(5))

(sqrt(2-x)-sqrt(2+x))times(sqrt(2-x)+sqrt(2+x))=?

Show that: (x^((2)/(3))sqrt(y^(-2)))/(y^(2)sqrt(x^(-2)))times(y^(2)sqrt(x^(-2)))/(sqrt(x^((4)/(3))))=(1)/(y)

lim_(x rarr oo)((sqrt(x^(2)+5)-sqrt(x^(2)-3))/(sqrt(x^(2)+3)-sqrt(x^(2)+1)))

lim_(x rarr1)(sqrt(x^(2)+8)-sqrt(10-x^(2)))/(sqrt(x^(2)+3)-sqrt(5-x^(2)))=