How do you simplify $(\sqrt{3} + 2) (\sqrt{3} + 1)$ $(sqrt3 + 2) (sqrt3 + 1)$ ?

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How do you simplify $(\sqrt{3} + 2) (\sqrt{3} + 1)$ $(sqrt3 + 2) (sqrt3 + 1)$ ?

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Answer 1 · 2016-04-02T17:40:04

$= 5 + 3 \sqrt{3}$ $= 5 +color(blue)(3sqrt3)$

Explanation:

$(\sqrt{3} + 2) \cdot (\sqrt{3} + 1)$ $color(blue)((sqrt3 + 2)) * (sqrt3 + 1)$

$= (\sqrt{3}) \cdot (\sqrt{3}) + \sqrt{3} \cdot (1) + (2) \cdot \sqrt{3} + (2) \cdot 1$ $= color(blue)((sqrt3 )) * (sqrt3) + color(blue)(sqrt3) * (1) + color(blue)((2)) * sqrt3 + color(blue)((2)) * 1$

$= 3 + \sqrt{3} + 2 \sqrt{3} + 2$ $= 3 + color(blue)(sqrt3) + color(blue)(2sqrt3) + 2$

$= 3 + 2 + \sqrt{3} + 2 \sqrt{3}$ $= 3 + 2 +color(blue)(sqrt3) + color(blue)(2sqrt3)$

$= 5 + 3 \sqrt{3}$ $= 5 +color(blue)(3sqrt3)$

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How do you simplify $(\sqrt{3} + 2) (\sqrt{3} + 1)$ $(sqrt3 + 2) (sqrt3 + 1)$ ?

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