Question

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?

Answer 1

`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)`