Solve 3/(6-5i) - ScanMath

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Type your math problem... 3/(6-5i)

x

Question

Simplify the expression

\frac{18}{61} + \frac{15}{61} i

Evaluate

\frac{3}{6 - 5 i}

Multiply by the Conjugate

\frac{3 ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )}

Calculate

More Steps

Evaluate

3 (6 + 5 i)

Apply the distributive property

3 \times 6 + 3 \times 5 i

Multiply the numbers

18 + 3 \times 5 i

Multiply the numbers

18 + 15 i

\frac{18 + 15 i}{( 6 - 5 i ) ( 6 + 5 i )}

Calculate

More Steps

Evaluate

(6 - 5 i) (6 + 5 i)

Use (a - b) (a + b) = a^{2} - b^{2} to simplify the product

6^{2} - (5 i)^{2}

Evaluate the power

36 - (5 i)^{2}

Evaluate the power

More Steps

Evaluate

(5 i)^{2}

Evaluate

5^{2} i^{2}

Evaluate the power

25 i^{2}

Evaluate the power

- 25

36 - (- 25)

Calculate

61

\frac{18 + 15 i}{61}

Solution

\frac{18}{61} + \frac{15}{61} i

Show Solution

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