How do you simplify sqrt3 (7- sqrt3)√3(7−√3)?

1 Answer
Jim G.
Aug 3, 2016

7sqrt3-37√3−3

Explanation:

Apply the color(blue)"distributive law."distributive law. That is multiply each term inside the bracket by sqrt3√3

color(red)(sqrt3)(7-sqrt3)=(color(red)(sqrt3)xx7)-(color(red)(sqrt3)xxsqrt3)√3(7−√3)=(√3×7)−(√3×√3)

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

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