How do you simplify -9-9i \div -1-8i?

Jean Blumer 2022-01-18 Answered
How do you simplify 99i÷18i?
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Expert Answer

mauricio0815sh
Answered 2022-01-19 Author has 34 answers
99i÷18i=81656365i
Explanation:
99i÷18i=99i18i
=99i18i1+8i1+8i
9+9i72i+721+64
=8163i65
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Carl Swisher
Answered 2022-01-20 Author has 28 answers
Solution:
99i÷18i can be written as 99i18i
To simplify we need to multiply numerator and denominator by the complex conjugate of the denominator.
Complex conjugate of a number a+bi is abi
hence in above case one needs to multiply by 1+8i
Hence 99i18i
=(99i)×(1+8i)(18i)×(1+8i)
=972i+9i72i2(1)2(8i)2
=972i+9i72(1)164(1)
=972i+9i+721+64
=8163i65
=81656365i
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