anonymous
  • anonymous
Am I doing this right because I am really confused??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Simplify √24 24 2 12 2 6 2 3 2*2*2*3
anonymous
  • anonymous
I give up from there?
anonymous
  • anonymous
Here is an example though:

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anonymous
  • anonymous
yes and then you get|dw:1377783108923:dw|
ivettef365
  • ivettef365
you just need to know the perfect square roots which are \(\sqrt{4}\). \(\sqrt{9}\). \(\sqrt{16}\). .......
anonymous
  • anonymous
|dw:1377783132084:dw|
ivettef365
  • ivettef365
now you have \(\sqrt{24}\) that is the same as \(\sqrt{4.6}\) you know that sqrt4 is a perfect square root
anonymous
  • anonymous
4*6 = 24
anonymous
  • anonymous
So the answer 4√6 ?
ivettef365
  • ivettef365
the \(\sqrt{4}\)= 2, so take out the 2 and you have 2\(\sqrt{6}\)
anonymous
  • anonymous
What?
anonymous
  • anonymous
Thats confusing.... So you did radical 24 simplifyed is 4.6 and √4 simplifyed is 2 Correct??
anonymous
  • anonymous
**Simplified
anonymous
  • anonymous
I do it visually, like in the pictures I drew, but you can also do it in your head as ivettef365 is doing
ivettef365
  • ivettef365
yes, and hte 4.6 goes inside the radical, and that is the same as \(\sqrt{4}\) . \(\sqrt{6}\)
anonymous
  • anonymous
look for the largest "perfect square" that is a factor of 24
anonymous
  • anonymous
Oh ok how come we didn't simplify 6 and just left that way
ivettef365
  • ivettef365
because 6 is only 2 x 3 and nether 2 or 3 are perfect squares.
anonymous
  • anonymous
as @ivettef365 wrote since \(24=4\times 6\) you have \[\sqrt{24}=\sqrt{4\times 6}=\sqrt{4}\times \sqrt{6}=2\sqrt{6}\] there are no perfect squares inside \(6\) since \(6=2\times 3\)
anonymous
  • anonymous
Ohhhh I see
anonymous
  • anonymous
another example \[\sqrt{50}=\sqrt{25\times 2}=\sqrt{25}\times \sqrt2=5\sqrt2\]
anonymous
  • anonymous
\[\sqrt{45}=\sqrt{9\times 5}=\sqrt9\times \sqrt 5=3\sqrt5\]
anonymous
  • anonymous
Thank you all! :D
ivettef365
  • ivettef365
The square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so the square root of 16 is 4.

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