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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Finding the Modulus of a Complex Number

Easy Additional Topics In Math Complex Numbers

Consider the complex number $z = 3 + 4i$. You are tasked with finding the modulus of this complex number. The modulus (or absolute value) of a complex number in the form $a + bi$ is defined as:

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

where $a$ and $b$ are real numbers. In this case, identify the values of $a$ and $b$ in the argument above and use them to compute the modulus of $z$. Write your answer as a decimal, rounded to two decimal places.

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