1. Rationalize the numerator sqrt(5)+3/-4sqrt(7).(adsbygoogle = window.adsbygoogle || []).push({});

(sqrt(5) + 3) / (-4)(sqrt(7)) =

(sqrt(5) + 3)(sqrt(5) - 3) / (-4)(sqrt(7))(sqrt(5) - 3) =

(5 - 9) / (-4)(sqrt(7))(sqrt(5) - 3) =

-4 / (-4)(sqrt(7))(sqrt(5) - 3) =

1 / (sqrt(7))(sqrt(5) - 3)

2. Perform the operation. Write the answer in a + bi form. 3+i/6-i I do this problem and I get the answer (17+9i)/37 is that right?

(3 + i) / (6 - i) =

(3 + i)(6 + i) / (6 - i)(6 + i) =

18 + 9i -1 / 36 + 1

17 + 9i / 37

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# Homework Help: Am I doing these correct?

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