How do you express $(\sqrt{3} + \sqrt{5}) (\sqrt{3} + \sqrt{5})$ $(sqrt3+sqrt5)(sqrt3+sqrt5)$ in simplest radical form?

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How do you express $(\sqrt{3} + \sqrt{5}) (\sqrt{3} + \sqrt{5})$ $(sqrt3+sqrt5)(sqrt3+sqrt5)$ in simplest radical form?

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Answer 1 · 2018-03-09T23:21:59

$= (8 + 2 \sqrt{15})$ $=(8+2sqrt15)$

Explanation:

Use FOIL (FIRST OUTER INNER LAST)
$= (\sqrt{3} + \sqrt{5}) \cdot (\sqrt{3} + \sqrt{5})$ $=(sqrt3+sqrt5)*(sqrt3+sqrt5)$
$= (3 + \sqrt{15} + \sqrt{15} + 5)$ $=(3+sqrt15+sqrt15+5)$
$= (8 + 2 \sqrt{15})$ $=(8+2sqrt15)$

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How do you express $(\sqrt{3} + \sqrt{5}) (\sqrt{3} + \sqrt{5})$ $(sqrt3+sqrt5)(sqrt3+sqrt5)$ in simplest radical form?

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Explanation:

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How do you express (√3+√5)(√3+√5)(sqrt3+sqrt5)(sqrt3+sqrt5) in simplest radical form?

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How do you express $(\sqrt{3} + \sqrt{5}) (\sqrt{3} + \sqrt{5})$ $(sqrt3+sqrt5)(sqrt3+sqrt5)$ in simplest radical form?