If the individuals utility function is given by uxy vxy

Question

Suppose an individual's budget and prices of commodities she faces are respectively I = 50,px = 2,py =3.

1. If the individual's utility function is given by U(x,y) = √xy. What's her preferred consumpution bundle?
2. If the individual's utility function is given by U(x, y) = x2 +y2. What's her preferred consumpution bundle?

(Hint: make sure you check the corner points)