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starrhunter

rationalize the denominator of √-16 _________ (1+i)+(6+3i)

  • one year ago
  • one year ago

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  1. m_charron2
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    -16 can be written as the product of 16 and -1, right? so what's the sqrt of 16 and the sqrt of -1?

    • one year ago
  2. starrhunter
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    i haven't any idea

    • one year ago
  3. hashsam1
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    |dw:1337100713360:dw|

    • one year ago
  4. m_charron2
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    ok, sqrt of 16, what multiplied with itself gives 16?

    • one year ago
  5. starrhunter
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    4

    • one year ago
  6. m_charron2
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    ok, what about -1?

    • one year ago
  7. starrhunter
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    im not sure about the -1

    • one year ago
  8. starrhunter
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    there isnt an answer for that... right?

    • one year ago
  9. hashsam1
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    |dw:1337100894030:dw|

    • one year ago
  10. m_charron2
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    ok, I'll give you that one, because it's a bit tricky, it's actually i. i * i = -1

    • one year ago
  11. starrhunter
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    i times i. got it.

    • one year ago
  12. m_charron2
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    ok, perfect, so sqrt of -16 = sqrt 16 * sqrt -1 = 4 * i

    • one year ago
  13. starrhunter
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    but its negative 16 under the square root....

    • one year ago
  14. starrhunter
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    and none of that is one of my choices

    • one year ago
  15. starrhunter
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    all of my choices look like fractions

    • one year ago
  16. m_charron2
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    Yup, and it's still works because of this : \[\sqrt{xy} = \sqrt{x} * \sqrt{y}\] right, so once you solve the the denominator, go back to hashsam1's solution

    • one year ago
  17. hashsam1
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    |dw:1337101077852:dw|

    • one year ago
  18. starrhunter
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    so it would be

    • one year ago
  19. hashsam1
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    |dw:1337101138650:dw|

    • one year ago
  20. starrhunter
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    thank you so much for all of your help!

    • one year ago
  21. hashsam1
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    is this the answer?

    • one year ago
  22. hashsam1
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    in your choices?

    • one year ago
  23. starrhunter
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    its 16 + 28i over 65

    • one year ago
  24. m_charron2
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    perfect

    • one year ago
  25. starrhunter
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    |dw:1337101312782:dw|

    • one year ago
  26. starrhunter
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    yay!

    • one year ago
  27. hashsam1
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    |dw:1337101388901:dw|

    • one year ago
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