[" IF "x" is a positive real number and "x^(2)=2," then "x^(3)=...?],[" 1"sqrt(2)],[" 2- "sqrt(2)],[" 3"sqrt(2)],[" 4"]

If x is a positive real number and x^(2)=2 then x^(3)=sqrt(2)( b) 2sqrt(2)(c)3sqrt(2)(d)4

If x is a positive real number and x^2=2, then x^3= (a) sqrt(2) (b) 2sqrt(2) (c) 3sqrt(2) (d) 4

Assuming that x , y , z are positive real numbers, simplify each of the following: (i) (sqrt(x))^(-2/3)\ \ sqrt(y^4)\ -:\ sqrt(x y^(-1/2))

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If a=1+sqrt(2)+sqrt(3) and b=1+sqrt(2)-sqrt(3) , then a^(2)+b^(2)-2a-2b=

(sqrt(x)+sqrt(y))^(2)=x+y+2sqrt(xy) and sqrt(x)sqrt(y)=sqrt(xy) , where x and y are positive real numbers . If x=2sqrt(5)+sqrt(3) and y=2sqrt(5)-sqrt(3) , then x^(4)+y^(4) =

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) (sqrt(x))^(-(2)/(3))sqrt(y^(4))-:sqrt(xy^(-(1)/(2)))

Assuming that x , y are positive real numbers, simplify each of the following: (i) sqrt(x^(-2)y^3) (ii) (x^(-2)doty^(-1/2))^2 (iii) (sqrt(x^(-3)))^5

If a,b,c are positive real numbers; then the value of x that minimizes sqrt(a^(2)+x^(2))+sqrt((b-x)^(2)+c^(2))

lim_(x rarr oo)x^(3)sqrt(x^(2)+sqrt(1+x^(4)))-x sqrt(2)