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Popular >

simplify |(2+i)/(3-2i)|

Solution

simplify

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

Solution

\frac{5}{13}

+1

Decimal Notation

0.62017 \dots

Solution steps

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

Simplify

\frac{2 + i}{3 - 2 i} : \frac{4}{13} + \frac{7}{13} i

= \frac{4}{13} + \frac{7}{13} i

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

\frac{4}{13} + \frac{7}{13} i = (\frac{4}{13})^{2} + (\frac{7}{13})^{2}

= (\frac{4}{13})^{2} + (\frac{7}{13})^{2}

Simplify

(\frac{4}{13})^{2} + (\frac{7}{13})^{2} : \frac{5}{13}

= \frac{5}{13}

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Frequently Asked Questions (FAQ)

What is |(2+i)/(3-2i)| ?
The solution to |(2+i)/(3-2i)| is sqrt(5/13)