How do you simplify 2√3 (√3 - 1 )?

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Answer 1 · 2018-07-18T13:50:27

See a solution process below:

Expand the term in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

$color(red)(2sqrt(3))(sqrt(3) - 1) =>$

$(color(red)(2sqrt(3)) xx sqrt(3)) - (color(red)(2sqrt(3)) xx 1) =>$

$color(red)(2)(sqrt(3))^2 - 2sqrt(3) =>$

$(color(red)(2) xx 3) - 2sqrt(3) =>$

$6 - 2sqrt(3)$

Answer 2 · 2018-07-18T13:50:59

$2\sqrt3(\sqrt3-1)$

$=(2\sqrt3)\sqrt3-2\sqrt3$

$=2(\sqrt3\sqrt3)-2\sqrt3$

$=2(3)-2\sqrt3$

$=6-2\sqrt3$

Answer 3 · 2018-07-18T23:16:08

$6-2sqrt3$

Distributing $2sqrt3$ to the parenthesis, we now have

$2color(blue)(sqrt3sqrt3)-2sqrt3$

This simplifies to

$2*color(blue)3-2sqrt3$

$=>6-2sqrt3$

Hope this helps!