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Digital SAT
Digital SAT Mathematics - No Calculator Section

Finding the Modulus of a Complex Number

Medium Additional Topics In Math Complex Numbers

Consider the complex number $z = 3 - 4i$. You need to find the modulus of $z$, which is defined as the distance of the complex number from the origin in the complex plane. The modulus is calculated using the formula:

$$|z| = ext{sqrt}(a^2 + b^2)$$

where $z = a + bi$. What is the modulus of the complex number $z$?

Hint

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