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Use the complex conjugate to find the absolute value of 8+12i

2 Answers

1 vote
You can find the absolute value of 8 + 12i using this formula:
|a+bi| = square root of a^2 + b^2
|5+12i| = square root of 8^2 + 12^2 = 14.42

14.42 is the correct answer. I hope this is the answer you're looking for. Have a great day!

User RKum
by
8.2k points
4 votes

Answer: It's absolute value of 8+12i is 14.42.

Explanation

Since we have given that


z=8+12i

Since we have to use the complex conjugate,

As we know that,


z\bar{z}=\mid z\mid^2

So,


z=8-12i\\\\\bar{z}=8-12i

Now, we use it in the formula ,


(8-12i)* (8-12i)=64+144=208

so,


\mid z\mid^2=208\\\\\mid z\mid=√(208)=14.42

so, it's absolute value of 8+12i is 14.42.

User OscarTheGrouch
by
8.3k points

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