Mathematics
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OpenStudy (anonymous):
Multiplying simplified square roots?
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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
\[12x \times 7x\]
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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):
\[\neq84\sqrt2\]
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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
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OpenStudy (anonymous):
thanks everyone!
OpenStudy (anonymous):
You're welcome!
OpenStudy (anonymous):
\[84x^2= 84(\sqrt{2})^2\]