Question

simplify => √5+√3
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√80+√48-√45-√27

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but give me right answer please.

Answer 1

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Answer 2

$\frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{80} + \sqrt{48} - \sqrt{45} - \sqrt{27} } \\ \\ \\ \\ = > \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{2 \times 2 \times 2 \times 2 \times 5} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} - \sqrt{5 \times 3 \times 3 } - \sqrt{3 \times 3 \times 3} } \\ \\ \\ \\ = > \frac{ \sqrt{5} + \sqrt{3} }{4 \sqrt{5} + 4 \sqrt{3} - 3 \sqrt{5} - 3 \sqrt{3} } \\ \\ \\ \\ = > \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{3} + \sqrt{5} } \\ \\ \\ = > 1$