Simplifying an Expression
Source:
February 6, 2009
Problem Statement
When simplified \sqrt{1\plus{} \left (\frac{x^4\minus{}1}{2x^2} \right )^2} equals:
(A)\ \frac{x^4\plus{}2x^2\minus{}1}{2x^2} \qquad
(B)\ \frac{x^4\minus{}1}{2x^2} \qquad
(C)\ \frac{\sqrt{x^2\plus{}1}}{2} \\
(D)\ \frac{x^2}{\sqrt{2}} \qquad
(E)\ \frac{x^2}{2}\plus{}\frac{1}{2x^2}