How do you simplify open parentheses 4 minus square root of 3 close parentheses open parentheses 12 plus 5 square root of 3 close parentheses?

1 Answer
Oct 9, 2015

Answer:

#33+8sqrt(3)#

Explanation:

Translation into workable form
4 minus square root of 3 close parentheses open parentheses 12 plus 5 square root of 3 close parentheses

#(4-sqrt(3))(12+5sqrt(3))#

Evaluation
#(color(red)(4-sqrt(3)))(color(blue)(12+5sqrt(3)))#

#color(white)("XXX")=color(red)(4)(color(blue)(12+5sqrt(3)))-color(red)(sqrt(3))(color(blue)(12+5sqrt(3)))#

#color(white)("XXX")=(color(green)(48+20sqrt(3)))-(color(brown)(12sqrt(3)+15))#

#color(white)("XXX")=33+8sqrt(3)#