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Mathematics 11 Online
OpenStudy (anonymous):

combine the expressions

OpenStudy (anonymous):

\[-\sqrt{147}+\sqrt{192}-\sqrt{243} \space and \space got \space 8\sqrt{3}\]

OpenStudy (lgbasallote):

\[\implies -7\sqrt 3 + 8\sqrt 3 - 3\sqrt 3\] is this what you got?

OpenStudy (lgbasallote):

\[-\sqrt{147} = -\sqrt{49 \times 3} \implies - 7\sqrt 3\] \[\sqrt{192} \implies \sqrt{64 \times 3} \implies 8\sqrt 3\] \[\sqrt{243} \implies \sqrt{81 \times 3} \implies 9\sqrt 3\] haha my mistake

OpenStudy (lgbasallote):

should have been \[-7\sqrt 3 + 8\sqrt 3 - 9\sqrt 3\]

OpenStudy (anonymous):

-3\[\sqrt{8}\]...

OpenStudy (anonymous):

oops

OpenStudy (anonymous):

i'm confused..

OpenStudy (lgbasallote):

which part?

hero (hero):

If @lgbasallote is correct, you can factor out the \(\sqrt{3}\) to get: \(\sqrt{3}(-7-9+8)\)

OpenStudy (anonymous):

8\[\sqrt{3}\]

OpenStudy (lgbasallote):

wanna recheck that?

hero (hero):

\(-8\sqrt{3}\)

OpenStudy (anonymous):

ahh ok wait

OpenStudy (anonymous):

k got it

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