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Romero

  • 3 years ago

State the equivalent form of

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  1. Romero
    • 3 years ago
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    \[\frac{2}{3+i}\]

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

  3. Romero
    • 3 years ago
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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?

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

  5. denbiner
    • 3 years ago
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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

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