What is 7+6i divided by 10+i?

Adrien Barron

Adrien Barron

Answered question

2022-01-30

What is 7+6i divided by 10+i?

Answer & Explanation

ataill0k

ataill0k

Beginner2022-01-31Added 18 answers

Step 1
We can make the denominator real by multiplying the denominator with its complex conjugate, thus:
7+6i10+i=7+6i10+i10i10i
=(7+6i)(10i)(10+i)(10i)
=707i+60i6i210010i+10ii2
Step 2
=70+53i+6100+1
=76+53i101
=76101+53101i
rakije2v

rakije2v

Beginner2022-02-01Added 12 answers

7+6i10+i
First we have to rationalize the denominator by multiplying the complex number in the denominator and the numerator by the denominators

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