Radical expression...question please?

Question

http://i3.tinypic.com/2guw6rq.jpg

Its a question and the directions are to SIMPLIFY.

Answer 1

I agree with Anpadh, you need to foil, YYZ's answer is wrong.

FOIL: first, outter, inner, last
you multiply the two quantities (x + sqrt(Y)) (x+ sqrt(Y))
so multiply the two first numbers: X^2
then the outter numbers: x^sqrt(Y)
then the inner numbers: x^sqrt(Y)
and last numbers: Y
lastly, add the quantities.
X^2 + 2x*sqrt(Y) + Y

Answer 2

The formula works out this way: A squared plus B squared plus twice AB, where A is the first term and B is the second term. In your case, A= X and B= square root of Y. A squared, then, is X squared. B squared is simply Y (the square of the square root of Y). Twice AB= 2X+2 square root of Y. So, here is your answer: Xsquared+Y+ 2(XsquarerootY). Without using mathematical notation, it is hard to explain how to do this problem and my PC does not have mathematical symbols (I don't think it does, anyhow).