Find the modulus of the complex number 3 + 4i.

C. 5 — The modulus of a complex number z = a + bi is calculated using the formula square root of (a squared plus b squared). Here, the square root of (3 squared plus 4 squared) equals the square root of 25, which is 5.

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$Find the modulus of the complex number z = 3 + 4 i .$

A. $3$
B. $4$
C. $5$
D. $7$

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Correct answer: C — $5$

Solution

The modulus of a complex number z = a + bi is ∣ z ∣ = a^{2} + b^{2} . Here, ∣3 + 4 i ∣ = 3^{2} + 4^{2} = 9 + 16 = 25 = 5 .

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Find the modulus of the complex number z=3+4i.

Solution

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$Find the modulus of the complex number z = 3 + 4 i .$