joshoyen
  • joshoyen
Express each number in terms of i. 1. √-32 2. 2√ -18 3. √ -1/9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jagr2713
  • jagr2713
Hey what do you think we do first?
joshoyen
  • joshoyen
Uh, i really am not sure
jagr2713
  • jagr2713
Well "i" is another term for -1 so we have \[\sqrt{-32}\] what do you think we do with the i?

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More answers

joshoyen
  • joshoyen
Multiply it with √ -32?
jagr2713
  • jagr2713
Yes so when we do that, it become postive but first, what do we do with the 32?
joshoyen
  • joshoyen
simplify?
jagr2713
  • jagr2713
Yes so what do we get?
joshoyen
  • joshoyen
uhm not sure how to do that, i forgot
jagr2713
  • jagr2713
Well to do that we need to find 2 numbers that multiply to get 32 BUT one of them has to be able to be sqrt.
joshoyen
  • joshoyen
8 and 4
jagr2713
  • jagr2713
Great, can we simplify more?
jagr2713
  • jagr2713
wait no
jagr2713
  • jagr2713
we need one number of the 2 that can be sqrt
jagr2713
  • jagr2713
For example, lets say we have \[\sqrt{18}\] 6,3,9,2 go into it. But only one of them can be sqrt which is 9 \[\sqrt{9}=3\] so we are left with \[3\sqrt{2}\]
jagr2713
  • jagr2713
Do you get it?
joshoyen
  • joshoyen
so it's √ 16 for 32 right?
jagr2713
  • jagr2713
COrrect and sqrt16 is?
joshoyen
  • joshoyen
4
jagr2713
  • jagr2713
so now 4 have been sqrt so we only have 2 left and that stays under the sqrt. And we bring the "i" outside so what would i answer be?
joshoyen
  • joshoyen
Wait what do you mean we have 2 left,
jagr2713
  • jagr2713
we had 16*2 and we only can sqrt 16 so 2 stays
jagr2713
  • jagr2713
16*2=32
joshoyen
  • joshoyen
ohh i see now
joshoyen
  • joshoyen
So it's 4√ 2
jagr2713
  • jagr2713
you forgot the i D:
joshoyen
  • joshoyen
oh lol 4i√ 2
jagr2713
  • jagr2713
Correct :D
jagr2713
  • jagr2713
Ok #2 what would we get?
joshoyen
  • joshoyen
3i√ 2
joshoyen
  • joshoyen
Then would it be 2x3i√ 2
jagr2713
  • jagr2713
Yes so whats 3*2 i
joshoyen
  • joshoyen
6i√ 2
jagr2713
  • jagr2713
Correct :D #3?
joshoyen
  • joshoyen
oh uhm not sure how to do this one
jagr2713
  • jagr2713
what is 9sqrt?
joshoyen
  • joshoyen
3
jagr2713
  • jagr2713
what is -1(-1)
joshoyen
  • joshoyen
1
jagr2713
  • jagr2713
remember -1 is "I" so its i so we have for the answer?
joshoyen
  • joshoyen
1/3i
jagr2713
  • jagr2713
no -1(i) ?
joshoyen
  • joshoyen
oh -1(i) is -1(-1) which is 1?
jagr2713
  • jagr2713
-3(i) = 3i so -1(i) = i
joshoyen
  • joshoyen
ohh okay
jagr2713
  • jagr2713
So \[\frac{ i }{ 3 }\]
jagr2713
  • jagr2713
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joshoyen
  • joshoyen
Thanks so much !
jagr2713
  • jagr2713
If you need more expert help, i would recommend out Qualified helpers :D For only 1.99 you can get expert help and a better understanding of the concept.
joshoyen
  • joshoyen
Oh really? Is it an only pay once thing?
joshoyen
  • joshoyen
or do i have to pay everytime
jagr2713
  • jagr2713
Its a pay once thing, might change over time but you will receive great help and a better understanding
joshoyen
  • joshoyen
Hm I'll look into it, thank you so much!
jagr2713
  • jagr2713
Yes anytime :D
joshoyen
  • joshoyen
Hm I'll look into it, thank you so much!

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