If x and y are positive integers, and square root = y + 3, then y^2 = ?

If you mean

x = √(y+3) then
x^2 = y+3
y = x^2-3

If you mean

x = √y + 3 then
x-3 = √y
y = (x-3)^2

If you mean

√x = y+3 then
y = √x - 3

It sure helps if you proofread your posts to make it quite clear what's going on. Use parentheses if there is more than one way to read your text!!!