Question

struggling to find the answer... i know what the answer is but cant seem to get there...... (x^1/2 + y^1/2)^2

Answer 1

First of all show me what you did. First is squaring it.

Answer 2

\(\left(x^{1/2} + y^{1/2}\right)^2 = \left(\sqrt{x} + \sqrt{y}\right)^2\)
\( = \left(\sqrt{x} + \sqrt{y}\right)\left(\sqrt{x} + \sqrt{y}\right)\)
\(= \sqrt{x}\left(\sqrt{x} + \sqrt{y}\right) + \sqrt{y}\left(\sqrt{x} + \sqrt{y}\right)\)
\(= x + \sqrt{xy} + \sqrt{xy} + y\)
\(= x + 2\sqrt{xy} + y\)