How do you simplify #sqrt3 (7- sqrt3)#?

1 Answer
Aug 3, 2016

Answer:

#7sqrt3-3#

Explanation:

Apply the #color(blue)"distributive law."# That is multiply each term inside the bracket by #sqrt3#

#color(red)(sqrt3)(7-sqrt3)=(color(red)(sqrt3)xx7)-(color(red)(sqrt3)xxsqrt3)#

#color(orange)"Reminder" color(red)(|bar(ul(color(white)(a/a)color(black)(sqrtaxxsqrta=(sqrta)^2=a)color(white)(a/a)|)))#

#rArr(color(red)(sqrt3)xx7)-(color(red)(sqrt3)xxsqrt3)=7sqrt3-3#