sqrt((x)/(2-3))+sqrt((x-3)/(2))=(5)/(2)

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))

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

Evaluate: ("lim")_(xvec2)(sqrt((x+7))-3sqrt((2x-3)))/(3sqrt(x+6) -2 3sqrt(3x-5))

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

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

lim_(x rarr a)(sqrt(3a+x)-2sqrt(x))/((sqrt(a+2x)-sqrt(3x)))=(3sqrt(3))/(2)

Show that : Lt_(x to a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x))=(2)/(3 sqrt(3))

6sqrt(3)x^(2)-47x+5sqrt(3)