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Mathematics 11 Online
OpenStudy (anonymous):

Multiplying simplified square roots?

OpenStudy (anonymous):

\[12\sqrt{2}\times7\sqrt{2}=\]

OpenStudy (unklerhaukus):

they are square roots, not squares

OpenStudy (anonymous):

do the same thing I told you

OpenStudy (anonymous):

Multiply what's outside the root separately and what's inside separately. 12 x 7 = 84 2 x 2 = 4 84√4 = 168

OpenStudy (anonymous):

Replace \[\sqrt{2}\] with x so you have \[12x \times 7x\]

OpenStudy (anonymous):

ok. so it would be \[84\sqrt{2}\]

OpenStudy (anonymous):

yes

OpenStudy (unklerhaukus):

\[12\sqrt{2}\times7\sqrt2=(12\times\sqrt2)\times(7\times\sqrt 2)\]\[=(12\times7)\times(\sqrt2\times\sqrt 2)\]\[=\]

OpenStudy (anonymous):

@beeqay You would have to multiply what's inside too.

OpenStudy (unklerhaukus):

\[\neq84\sqrt2\]

OpenStudy (anonymous):

so then it would be \[84\sqrt{4}\] then 84X2 ? 168

OpenStudy (unklerhaukus):

\[(\sqrt 2\times\sqrt 2)=\sqrt2^2=2\]

OpenStudy (anonymous):

@Calcmathlete yes, that is the point. Apologies, you forgot to multiply \[\sqrt{2} \times \sqrt{2}\]

OpenStudy (anonymous):

@ipacpc Bingo!

OpenStudy (unklerhaukus):

yeah that is right

OpenStudy (anonymous):

thanks everyone!

OpenStudy (anonymous):

You're welcome!

OpenStudy (anonymous):

\[84x^2= 84(\sqrt{2})^2\]

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