How do you simplify $(sqrt3 + 2) (sqrt3 + 1)$ ?

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Answer 1 · 2016-04-02T17:40:04

$= 5 +color(blue)(3sqrt3)$

$color(blue)((sqrt3 + 2)) * (sqrt3 + 1)$

$= color(blue)((sqrt3 )) * (sqrt3) + color(blue)(sqrt3) * (1) + color(blue)((2)) * sqrt3 + color(blue)((2)) * 1$

$= 3 + color(blue)(sqrt3) + color(blue)(2sqrt3) + 2$

$= 3 + 2 +color(blue)(sqrt3) + color(blue)(2sqrt3)$

$= 5 +color(blue)(3sqrt3)$

How do you simplify (sqrt3 + 2) (sqrt3 + 1) (sqrt3 + 2) (sqrt3 + 1)?