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OpenStudy (anonymous):
\[2\sqrt{11}*8\sqrt{22}\]
OpenStudy (anonymous):
You multiply whatever is the inside with the inside, the outside with the outside. Then you look for if whether you can simplify the inside.
OpenStudy (anonymous):
ok so
OpenStudy (anonymous):
Start with the first instruction, what do you get when you multiply \(\sqrt{11} \times \sqrt{22}\)?
OpenStudy (anonymous):
like 15
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OpenStudy (anonymous):
\(11 \times 22 = 15\)?
OpenStudy (anonymous):
no 242
OpenStudy (anonymous):
Great! Now Multiply the whole numbers and put it together.
OpenStudy (anonymous):
huh? 16
OpenStudy (anonymous):
Now, but them together...
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OpenStudy (anonymous):
multiply them?
OpenStudy (anonymous):
wait is it 15sqrt
OpenStudy (anonymous):
No, put them together - side by side.
OpenStudy (anonymous):
16sqrt 242
OpenStudy (anonymous):
\(16\sqrt{242}\)
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OpenStudy (anonymous):
Now, what are the factors of 242?
OpenStudy (anonymous):
It shouldn't be hard, you multiplied \(11 \times 22\) to get it.
OpenStudy (anonymous):
1, 2, 11, 22, 121, and 242.
OpenStudy (anonymous):
I meant prime factorization, sorry.
\(11\times 11\times 2\)
OpenStudy (anonymous):
ok?
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OpenStudy (anonymous):
Take out a perfect square.
OpenStudy (anonymous):
\(16\times 11\sqrt{2}\)
OpenStudy (anonymous):
176
OpenStudy (anonymous):
Multiply your integers together. Then you will have your answer.
OpenStudy (anonymous):
Now put it together.
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OpenStudy (anonymous):
got it. what is
\[\sqrt{3}*\]
OpenStudy (anonymous):
\(176\sqrt{2}\)
OpenStudy (anonymous):
\[\sqrt{3}*\sqrt{5}\]
OpenStudy (anonymous):
next question
OpenStudy (anonymous):
Use the same approach. If there is a perfect square factor, pull it out and take the square root.
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OpenStudy (anonymous):
is it \[\sqrt{1}\]
OpenStudy (anonymous):
15
OpenStudy (anonymous):
Close, try again..
OpenStudy (anonymous):
\[5\sqrt{3}\]
OpenStudy (anonymous):
Look at it this way....
\(\sqrt{10} \times \sqrt{2}\)
\(10 \times 2 = 20\) so...
\(\sqrt{10} \times \sqrt{2} = \sqrt{20}\)
Use this information to apply to your question.
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