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

1 Answer
Don't Memorise
Apr 2, 2016

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

Explanation:

#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) #

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