The modulus of the complex number (1-2i)/(2+i) is:

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Question 10:
The modulus of the complex number $\frac{1-2i}{2+i}$ is:

Step 1: Simplify the complex number by multiplying the numerator and denominator by the conjugate of the denominator.

$$z = \frac{1-2i}{2+i}$$ $$z = \frac{1-2i}{2+i} \times \frac{2-i}{2-i}$$ $$z = \frac{(1)(2) + (1)(-i) + (-2i)(2) + (-2i)(-i)}{2^2 - i^2}$$ $$$$