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Mathematics 9 Online
OpenStudy (anonymous):

medal awarded for answer equation will be in comments

OpenStudy (anonymous):

[(2-3 \sqrt-6) _-4+\sqrt-6\] a)\[10+4i \sqrt6\] b) \[12-16i \sqrt6\] c)\[-8+12i \sqrt6\]\ d)\[-4+7i \sqrt6\]

OpenStudy (anonymous):

4x + 6y = 14 -2x + 2y = -2

OpenStudy (anonymous):

wha tnow

OpenStudy (callisto):

Is this your question\[(2-3 \sqrt{-6})-4+\sqrt{-6}\]?

OpenStudy (anonymous):

yes it is my question @ callisto

OpenStudy (callisto):

Consider \(\sqrt{-6}\), \[\sqrt{-6}=\sqrt{-1 \times 6} = \sqrt{-1}\times\sqrt{6}=6i\] Got this part?

OpenStudy (anonymous):

ok so i replace sqrt of -6 with 56i and then just do the work?

OpenStudy (callisto):

sqrt of -6 with \(\sqrt{6}i\)

OpenStudy (anonymous):

6i

OpenStudy (anonymous):

okay so then what do i do

OpenStudy (callisto):

Hmm... why is it 6i but not \(\sqrt{6}i\)?

OpenStudy (anonymous):

i meant sqrt 6i how do you go about the equation with sqrt

OpenStudy (callisto):

Your question is not an equation, just an expression. Your task is to simply the expression given.

OpenStudy (anonymous):

yes so i really have no idea how to do this

OpenStudy (callisto):

I made a typo above, it should be \[\sqrt{-6}=\sqrt{-1 \times 6} = \sqrt{-1}\times\sqrt{6}=\sqrt{6}i\]Sorry again :(

OpenStudy (anonymous):

its okay

OpenStudy (callisto):

As mentioned above, replace \(\sqrt{-6}\) with \(\sqrt{6}i\) \[(2-3 \sqrt{-6})-4+\sqrt{-6}\]\[=(2-3 \sqrt{6}i)-4+\sqrt{6}i\]Then, add/subtract the "like terms"

OpenStudy (callisto):

that is to do addition for the real part and imaginary part (those terms with i) respectively.

OpenStudy (anonymous):

okay so i end up with what? becaus ethe answer i get ais wrong says the teacher

OpenStudy (callisto):

What have you got?

OpenStudy (callisto):

For some reasons, I think the question you typed there was wrong.

OpenStudy (anonymous):

12-16i sqrt6

OpenStudy (callisto):

Can you please check the question again?

OpenStudy (anonymous):

yesy equation is typed corrctly

OpenStudy (anonymous):

i gpt it right now thanks for your help

OpenStudy (callisto):

You're welcome...

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