Astand-up comedian uses algebra in some jokes, including one about a telephone recording that announces "you have just reached a pure imaginary number. multiply by i and dial again." explain the joke.

When we work with imaginary numbers, we have that

i = √(-1)

then, we have that i*i = √(-1)*√(-1) = -1

An imaginary number is a number of form A + B*i, where A and B are real numbers.

Now, a purely imaginary number is a number of the form B*i, where B is a real number.

Then, if we multiply this number by i, we have that:

B*i*i = B*(-1) = -B

now we have a real number.

The joke is that now you can "reach" a real number.

step-by-step explanation:

you already gave the answer

step-by-step explanation: