If `sqrt(5)=x-2`, what is the value of `(x-2)^(2)`?

sqrt(5)=x-2, what is the value of (x-2)^(3) ?

If x= (sqrt""5) + 1 and y = (sqrt""5) -1 , then what is the value of (x^(2)//y^(2)) + (y^(2)//x^(2)) + 4[(x//y) + (y//x)]+6 ?

If (sqrt(x))/(2)=2sqrt(2) , what is the value of x?

If x=sqrt((2+sqrt(3))/(2-sqrt(3))) ,then what is the value of (x^(2)+x-9) ?

If x=(sqrt5)+1 and y=(sqrt5)-1 , then what is the value of (x^2//y^2)+ (y^2//x^2) + 4[(x//y) + (y//x)] + 6 ?

If a=5sqrt2 and 2a=sqrt(2x) , what is the value of x ?

Let the function g be defined by g(x)=5x+2 . If sqrt(g((a)/(2)))=6 , what is the value of a?