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PSAT/NMSQT
PSAT Math Test - Calculator Section

Finding the Modulus of a Complex Number

Very Easy Additional Topics In Math Complex Numbers

Consider the complex number represented by the expression:

$$ z = 3 + 4i $$

Where $i$ is the imaginary unit, defined by $i = \sqrt{-1}$. The modulus (or absolute value) of a complex number $z = a + bi$ is given by the formula:

$$ |z| = \sqrt{a^2 + b^2} $$

In this case, identify the modulus of the complex number $z$. Calculate your answer and enter it as a decimal in the response grid.

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