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anonymous

  • 5 years ago

√-75 write the complex number in stardard form

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  1. shadowfiend
    • 5 years ago
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    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.

  2. anonymous
    • 5 years ago
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    i know can you example the reason again

  3. shadowfiend
    • 5 years ago
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    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, \(\sqrt{-1} = i\).

  4. anonymous
    • 5 years ago
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    so thats the answer?^

  5. shadowfiend
    • 5 years ago
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    Not quite. Since we know -1 * 75 = -75, we get: \[\sqrt{-1 * 75}\] \[\sqrt{-1}\sqrt{75}\] What's \(\sqrt{-1}\) again?

  6. anonymous
    • 5 years ago
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    1

  7. anonymous
    • 5 years ago
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    i

  8. anonymous
    • 5 years ago
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    isn't it\[5\sqrt{3}i\]

  9. shadowfiend
    • 5 years ago
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    Yep, that's part 2, factoring out the 75 into 25 * 3 and doing that goodness :)

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