- #1

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It's to simplify:

2√3(3+√3)

Guessing first calculate (a^2 - b^2*c) in the square, though the 2 is throwing this an i'm not sure how the answer is 6√3

**+ 6**, an not 18√3 ?

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- Thread starter Ross MC
- Start date

- #1

- 2

- 0

It's to simplify:

2√3(3+√3)

Guessing first calculate (a^2 - b^2*c) in the square, though the 2 is throwing this an i'm not sure how the answer is 6√3

- #2

coolul007

Gold Member

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It's to simplify:

2√3(3+√3)

Guessing first calculate (a^2 - b^2*c) in the square, though the 2 is throwing this an i'm not sure how the answer is 6√3+ 6, an not 18√3 ?

It's just the Distributive property:

[itex](2)(\sqrt{3})(3 + \sqrt{3})[/itex]

[itex](2)(\sqrt{3})(3 ) + (2)(\sqrt{3})(\sqrt{3})[/itex]

[itex](2)(3 )(\sqrt{3}) + (2)(\sqrt{3})(\sqrt{3})[/itex]

- #3

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- #4

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- #5

Mentallic

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Unless you meant that 2√3(3+√3) as [tex]2\sqrt{3(3+\sqrt{3})}[/tex] but that doesn't follow from the required answer, so yep, this problem can simply be solved with the distributive property.

edit: beaten to it.

- #6

Mark44

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