So-called simplifying, really means, "rationalizing the denominator", which is another way of saying, "getting rid of that pesky radical in the bottom"

$\bf \cfrac{4}{3-2i}\cdot \cfrac{3+2i}{3+2i}\impliedby \textit{multiplying by the conjugate of the bottom}
\\\\\\
\cfrac{4(3+2i)}{(3-2i)(3+2i)}\implies \cfrac{4(3+2i)}{3^2-(2i)^2}\implies \cfrac{4(3+2i)}{3^2-(4i^2)}\\\\
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recall\qquad i^2=-1\\\\
-------------------------------\\\\
\cfrac{4(3+2i)}{3^2-(4\cdot -1)}\implies \cfrac{4(3+2i)}{9+4}\implies \cfrac{12+8i}{13}\implies \cfrac{12}{13}+\cfrac{8}{13}i$

4 0

3 years ago

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Help ASAP Pythagorean tyoerem

marin [14]

Answer:

Step-by-step explanation:

Sides opposite to equal angles are equal.

x = 8

Pythagorean theorem,

y² = 8² + 8²

= 64 + 64

y² = 128

y = √128

y = 11.31

4 0

3 years ago

Me ned formula plz plz sub to my YT at Cheese_Club_YT

Dafna1 [17]

Answer:

To solve you move 52 to the left of TR

Step-by-step explanation:

6 0

3 years ago

Double bar graphs compare multiple

kykrilka [37]

Compares Two data sets

4 0

3 years ago