If `(sqrt 2+sqrt 3)^2=a+bsqrt 6` where a,b in `theta`,then find the value of a and b.

Find the value of sqrt-2 sqrt-3

If the function f(x) = x^(3) - 6x^(2) + ax + b defined on [1, 3] satisfies Rolle's theorem for c = (2 sqrt(3) + 1)/(sqrt(3)) , then find the values of a and b.

If (a^(3)-3a-2)x^(2)+(a^(2)-a-2)x=(2a^(4)-10a+b) is true for all real values of x where a, b in R then find the value of b.

If * is defined by a * b=a-b^2 and oplus is defined by a oplus b = a^2+b ,where a and b are integers.Then find the value of ( 3 oplus 4 ) * 5

Find value sqrt3+2+y=4 . Find the value of y.