anonymous
  • anonymous
sqrt
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[2\sqrt{11}*8\sqrt{22}\]
anonymous
  • 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.
anonymous
  • anonymous
ok so

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

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