9+9i/1-8i

Anya Hassan

Anya Hassan

Answered question

2022-08-21

9+9i/1-8i

Answer & Explanation

xleb123

xleb123

Skilled2023-05-24Added 181 answers

To simplify the expression 9+9i18i, we can use the conjugate of the denominator to eliminate the complex denominator.
The conjugate of 18i is 1+8i. Multiplying both the numerator and denominator by the conjugate, we get:
9+9i18i·1+8i1+8i
Expanding the numerator and denominator:
(9+9i)(1+8i)(18i)(1+8i)
Simplifying each term:
9+72i+9i+72i218i+8i64i2
Since i2 is equal to 1, we can substitute the values:
9+72i+9i+72(1)18i+8i64(1)
Simplifying further:
9+72i+9i7218i+8i+64
Combining like terms:
63+81i65
The simplified form of 9+9i18i is 63+81i65.

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