Solve $(6 + \sqrt{3}) (1 + 2 \sqrt{3})$ $(6+sqrt3)(1+2sqrt3)$ ?

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Solve $(6 + \sqrt{3}) (1 + 2 \sqrt{3})$ $(6+sqrt3)(1+2sqrt3)$ ?

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Answer 1 · 2018-04-12T14:59:45

$12 + 13 \sqrt{3}$ $12 + 13sqrt(3)$

Explanation:

You'll need to FOIL out this problem.

$(6 \times 2 \sqrt{3}) + (6 \times 1)$ $(6 xx 2sqrt3) + (6 xx1)$

$(\sqrt{3} \times 1) + (\sqrt{3} \times 2 \sqrt{3})$ $(sqrt3 xx 1) + ( sqrt3 xx 2sqrt3 )$

Simplify them

$(12 \sqrt{3}) + (6)$ $(12sqrt3) + (6)$

$(\sqrt{3}) + (6)$ $(sqrt3) + (6)$

Combine like terms.

Answer 2 · 2018-04-12T15:02:58

$12 + 13 \sqrt{3}$ $12+13sqrt3$

Explanation:

$(6 + \sqrt{3}) (1 + 2 \sqrt{3})$ $(6+sqrt3)(1+2sqrt3)$

$= 6 (1) + 1 \sqrt{3} + 6 (2 \sqrt{3}) + 2 \sqrt{3} \sqrt{3}$ $=6(1) + 1sqrt3 + 6(2sqrt3) + 2sqrt3sqrt3$

$= 6 + 1 \sqrt{3} + 12 \sqrt{3} + 6$ $=6 + 1sqrt3 + 12sqrt3 + 6$

$=color(red)(12 + 13sqrt3) = 34.5166604...$

Answer 3 · 2018-04-13T10:54:54

$12+13sqrt3$

Explanation:

Expand out each term:

$6 xx 1=6$

$6 xx 2sqrt3=12sqrt3$

$sqrt3 xx 1=sqrt3$

$sqrt3 xx 2sqrt3=2sqrt9 -> 2 xx 3=6$

Adding like terms:

$6+12sqrt3+sqrt3+6 -> 12+13sqrt3$

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3 Answers

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