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The modulus of z = 7 + 3i is ______ -

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Question

The modulus of z = `sqrt7` + 3i is ______

Options

  • `sqrt2`

  • 2

  • 4

  • `sqrt5`

MCQ
Fill in the Blanks

Solution

The modulus of z = `sqrt7` + 3i is 4.

Explanation:

|z| = `|sqrt7 + 3i| = sqrt((sqrt7)^2 + (3)^2)`

= `sqrt(7 + 9)`

= 4

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Argand Diagram Or Complex Plane
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