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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

$\frac{2}{3+i}$

2. Romero Group Title

$a) \frac{3-i}{4}$ $b) \frac{3-i}{5}$ $c)\frac{4-i}{4}$ $d) \frac{4-i}{5}$

3. Romero Group Title

I said the answer was a but I got it wrong. It says that it suppose to be b can anyone explain?

4. gogind Group Title

$\frac{2}{3+i} = \frac{2}{3+i} \frac{3-i}{3-i} = \frac{2(3-i)}{3^2 -i^2} = \frac{2(3-i)}{9-(-1)} = \frac{3-i}{5}$

5. denbiner Group Title

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