Solve 145/(9-8i) - ScanMath

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Type your math problem... 145/(9-8i)

x

Question

Simplify the expression

9 + 8 i

Evaluate

\frac{145}{9 - 8 i}

Multiply by the Conjugate

\frac{145 ( 9 + 8 i )}{( 9 - 8 i ) ( 9 + 8 i )}

Calculate

More Steps

Evaluate

145 (9 + 8 i)

Apply the distributive property

145 \times 9 + 145 \times 8 i

Multiply the numbers

1305 + 145 \times 8 i

Multiply the numbers

1305 + 1160 i

\frac{1305 + 1160 i}{( 9 - 8 i ) ( 9 + 8 i )}

Calculate

More Steps

Evaluate

(9 - 8 i) (9 + 8 i)

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

9^{2} - (8 i)^{2}

Evaluate the power

81 - (8 i)^{2}

Evaluate the power

More Steps

Evaluate

(8 i)^{2}

Evaluate

8^{2} i^{2}

Evaluate the power

64 i^{2}

Evaluate the power

- 64

81 - (- 64)

Calculate

145

\frac{1305 + 1160 i}{145}

Rewrite the expression

\frac{145 ( 9 + 8 i )}{145}

Solution

9 + 8 i

Show Solution

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