anonymous
  • anonymous
√-75 write the complex number in stardard form
Mathematics
jamiebookeater
  • jamiebookeater
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shadowfiend
  • shadowfiend
So, the same applies as with your previous question. Try coming up with the answer based on that and post it, then we'll see if it's right, and if it's wrong I'll explain the process again.
anonymous
  • anonymous
i know can you example the reason again
shadowfiend
  • shadowfiend
So if you have any negative number -a, that's the same as saying -1 * a. Above, we have -75. That's the same as -1 * 75. Finally, \(\sqrt{-1} = i\).

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anonymous
  • anonymous
so thats the answer?^
shadowfiend
  • shadowfiend
Not quite. Since we know -1 * 75 = -75, we get: \[\sqrt{-1 * 75}\] \[\sqrt{-1}\sqrt{75}\] What's \(\sqrt{-1}\) again?
anonymous
  • anonymous
1
anonymous
  • anonymous
i
anonymous
  • anonymous
isn't it\[5\sqrt{3}i\]
shadowfiend
  • shadowfiend
Yep, that's part 2, factoring out the 75 into 25 * 3 and doing that goodness :)

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