Question

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

Answer 1

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

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