For $u=\dfrac7{13}+\dfrac{22}{13}i$ , find the modulus $|u|$ .

Model answer

1.78

Also accepted: 1.776, sqrt533/13

Explanation:

|u|=\dfrac1{13}\sqrt{7^2+22^2}=\dfrac{\sqrt{533}}{13}\approx1.776

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q4

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