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2 votes
Select the expression that is equivalent to |4-3i|
a. 1
b. 7²
c.5i
d.5

1 Answer

3 votes

Final answer:

The expression |4-3i| is equivalent to 5. The correct answer is option (d).

Step-by-step explanation:

The expression |4-3i| is equivalent to the absolute value of the complex number 4-3i.

The absolute value of a complex number is its distance from the origin in the complex plane.

To find the absolute value of 4-3i, we use the formula √(a² + b²), where 'a' is the real part and 'b' is the imaginary part.

For 4-3i, a = 4 and b = -3.

Using the formula, we get √(4² + (-3)²) = √(16 + 9) = √25 = 5.

Therefore, the expression |4-3i| is equivalent to 5.

User Moshez
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