Question

Show that(√3+√5)² is an irrational number

Answer 1

Answer:

$( { \sqrt{3} + \sqrt{5}) }^{2} \\ = { \sqrt{3} }^{2} + { \sqrt{5} }^{2} + 2 \times \sqrt{3} \times \sqrt{5} \\ \\ 3 + 5 + 2 \times \sqrt{15} \\ \\ 8 + 2 \sqrt{15}$

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