Chapter 11: Q. 8.176 (page 1069)

Divide: $\frac{2 + 4 i}{5 i}$

Short Answer

Expert verified

The solution of the above expression is $\frac{4 - 2 i}{5}$

Step by step solution

Given information

We are given an expression $\frac{2 + 4 i}{5 i}$

Write denominator in standard form

We get, $\frac{2 + 4 i}{0 + 5 i}$

Multiply the numerator and denominator byThe complex conjugate of the denominator.

$\frac{2 + 4 i}{0 + 5 i} \times \frac{0 - 5 i}{0 - 5 i}$

Multiply and simplify the real and imaginary terms

$\frac{- 10 i - 20 i^{2}}{- 25 i^{2}} \frac{- 10 i - 20 (- 1)}{- 25 (- 1)} \frac{20 - 10 i}{25}$

Rewrite in standard form

$\frac{20}{25} - \frac{10}{25} i \frac{4}{5} - \frac{2}{5} i$

Conclusion

On solving the and performing the given operation we get $\frac{4}{5} - \frac{2}{5} i$

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Divide: $\frac{2 + 4 i}{5 i}$

Short Answer

Step by step solution

Given information

Write denominator in standard form

Multiply the numerator and denominator byThe complex conjugate of the denominator.

Multiply and simplify the real and imaginary terms

Rewrite in standard form

Conclusion

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Divide:2+4i5i

Short Answer

Step by step solution

Given information

Write denominator in standard form

Multiply the numerator and denominator byThe complex conjugate of the denominator.

Multiply and simplify the real and imaginary terms

Rewrite in standard form

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Applied Mathematics

Pure Maths

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Divide: $\frac{2 + 4 i}{5 i}$