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Romero Group Title

State the equivalent form of

  • 2 years ago
  • 2 years ago

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  1. Romero Group Title
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    \[\frac{2}{3+i}\]

    • 2 years ago
  2. Romero Group Title
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    \[a) \frac{3-i}{4}\] \[b) \frac{3-i}{5}\] \[c)\frac{4-i}{4}\] \[d) \frac{4-i}{5}\]

    • 2 years ago
  3. Romero Group Title
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    I said the answer was a but I got it wrong. It says that it suppose to be b can anyone explain?

    • 2 years ago
  4. gogind Group Title
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    \[\frac{2}{3+i} = \frac{2}{3+i} \frac{3-i}{3-i} = \frac{2(3-i)}{3^2 -i^2} = \frac{2(3-i)}{9-(-1)} = \frac{3-i}{5}\]

    • 2 years ago
  5. denbiner Group Title
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    because i is a radical... you cannot have a radical in the denominator so you need to rationalize the denominator so that the radical goes away from the denom..... so you multiply everything times its conjugate and simplify

    • 2 years ago
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