" 5."x^(2)*sqrt(a^(2)-x^(6))

Find the complete set of real values of a for which both roots of the quadratic equation (a^(2)-6a+5)x^(2)-sqrt(a^(2)+2a)x+(6a-a^(2)-8)=0 lie on either side of the origin.

Rationalise the denominator: (a) (1)/(root(3)(3) + root(3)(2)) , (b) (2)/(sqrt5 + sqrt3 + sqrt2) , (c) (x^(2))/(sqrt(x^(2) + y^(2)) - y) , (d) (1)/(sqrt6 + sqrt5 - sqrt11) (e) (sqrt(x + 2y) - sqrt(x -2y))/(sqrt(x + 2y) + sqrt(x - 2y)) , (f) (sqrt10 + sqrt5 - sqrt3)/(sqrt10 - sqrt5 + sqrt3)

Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-5x+6) - sqrt(x^2-5x+4))^(x//2)=2^((x+4)/4)

Solve the following: (sqrt(x^(2)-5x+6)+sqrt(x^(2)-5x+4))^((x)/(2))+(sqrt(x^(2)-5x+6)-sqrt(x^(2)-5x+4))^(x/2)=2^((x+4)/(4))

Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-5x+6) - sqrt(x^2-5x+4))^(x//2)=2^((x+4)/4)

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , is

Examples: (x+2)/(sqrt(x^(2)+5x+6))dx