Question

prove that 1/2+√3+2√5-√3+1/2-√5=0

Answer 1

Hey here is your answer
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$= \frac{1}{2} + \sqrt{3} + 2 \sqrt{5} - \sqrt{3} + \frac{1}{2} - \sqrt{5} \\ \\ = ( \frac{1}{2} + \frac{1}{2} )+ (\sqrt{3} - \sqrt{3}) + (2 \sqrt{5} - \sqrt{5} ) \\ \\ = 1 + 0 + \sqrt{5} \\ \\ = 1 + \sqrt{5}$