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vodomira [7]
2 years ago
8

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

-  \frac{3}{13}  +  \frac{15i}{13}

Step-by-step explanation:

\frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)}

Set up equation

Step 1: Simplify

\frac{6i}{5 - i}

Step 2:Multiply by conjugate

\frac{6i}{5 - i}  \times  \frac{5 + i}{5 + i}

Step 3:Simplify

\frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2}  }

We can reduce this and we must make the imaginary number and real number serpate equations.

-  \frac{6}{26}  +  \frac{30i}{26}

Reduce each by 2

- \frac{3}{13}  +  \frac{15i}{13}

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