Math CentralQuandaries & Queries


Question from Delilah, a student:

What is the value of |2((i)^(1/2))|?
i.e. absolute value of 2 multiplied by square root of i.

Hi Delilah,

When dealing with complex numbers, the quantity you call absolute value is usually called the modulus.

There is a fact about the modulus of complex numbers that should help.

If $z_1$ and $z_2$ are complex numbers than $|z_1 z_2| = |z_1| |z_2|.$


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