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11 grade maths others

How do you find | -6-8i |?

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9 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer9 Months ago

To find the absolute value of the complex number \(-6 - 8i\), you can use the formula for the magnitude of a complex number, which is given by:

Magnitude Formula

The formula is:

|a + bi| = √(a² + b²)

In this case, \(a = -6\) and \(b = -8\).

Calculating the Values

  • First, square the real part: \((-6)² = 36\)
  • Next, square the imaginary part: \((-8)² = 64\)

Adding the Squares

Now, add these two results together:

36 + 64 = 100

Finding the Square Root

Finally, take the square root of the sum:

√100 = 10

Final Result

The absolute value of \(-6 - 8i\) is 10.

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