Question

$( \sqrt{5} - \frac{1}{2}) {}^{2} + ( \frac{ \sqrt{2} }{2} + 1) {}^{2} + ( \frac{1}{2} - \sqrt{5)} ( \frac{1}{2} + \sqrt{5)}$
Plss help mee

Answer 1

${( \sqrt{5} - \frac{1}{2} )}^{2} + {( \frac{ \sqrt{2} }{2} + 1) }^{2} + ( \frac{1}{2} - \sqrt{5} )( \frac{1}{2} + \sqrt{5} )$

$= 5 - \sqrt{5} + \frac{1}{4} + \frac{2}{4} + \sqrt{2} + 1 + \frac{1}{4} - 5$

$= 2 + \sqrt{2} - \sqrt{5}$