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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!

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

Step-by-step explanation

Since we have given that

[tex]z=8+12i[/tex]

Since we have to use the complex conjugate,

As we know that,

[tex]z\bar{z}=\mid z\mid^2[/tex]

So,

[tex]z=8-12i\\\\\bar{z}=8-12i[/tex]

Now, we use it in the formula ,

[tex](8-12i)\times (8-12i)=64+144=208[/tex]

so,

[tex]\mid z\mid^2=208\\\\\mid z\mid=\sqrt{208}=14.42[/tex]

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

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