Lrki
  • Lrki
Please Help... How can I simplify this expression 2 √-24+6 using the imaginary unit i
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Alright lets work on this shall we? @Lrki
anonymous
  • anonymous
So we have \[2\sqrt{-24+6}\] right?
Lrki
  • Lrki
Yes

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anonymous
  • anonymous
or is it \[2\sqrt{-24}+6\]
anonymous
  • anonymous
The 1st one or the second one?
Lrki
  • Lrki
The 1st
anonymous
  • anonymous
Okay so now we have \[2\sqrt{24+6}\]
anonymous
  • anonymous
Sorry with a negative in front.
Lrki
  • Lrki
My bad it's the second one.
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
Now what we need to do is make the 24 into a positive and multiply it with -1 like this: \[2\sqrt{24(-1)}+6\]
Lrki
  • Lrki
Ok
anonymous
  • anonymous
Do you see what I did?
Lrki
  • Lrki
Yes
Lrki
  • Lrki
Would the answer be 6+4i √6
anonymous
  • anonymous
Now you want to separate the -1 into a separate square root \[2\sqrt{24}\sqrt{-1}+6\]
anonymous
  • anonymous
Well lets work it out I don't know the answer yet.
anonymous
  • anonymous
Now \[\sqrt{-1}\]
anonymous
  • anonymous
is equal to \[i\]
Lrki
  • Lrki
I got the answer thanks anyways.
anonymous
  • anonymous
Oh haha okay xDD
anonymous
  • anonymous
Sorry for the time.
anonymous
  • anonymous
Hope I helped anyway.
anonymous
  • anonymous
Have a great day!

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