# Which complex number has an absolute value of 5

Asked by wiki @ in **Mathematics** viewed by 238 People

Which complex number has an absolute value of 5?

A)–3 + 4i

B)2 + 3i

C)7 – 2i

D)9 + 4i

Asked by wiki @ in **Mathematics** viewed by 238 People

Which complex number has an absolute value of 5?

A)–3 + 4i

B)2 + 3i

C)7 – 2i

D)9 + 4i

Answered by wiki @

For this case we can use the Pythagorean theorem to solve the problem.

We have then for the following complex number:

Using the Pythagorean theorem:

Rewriting we have:

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