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how to write complex numbers in standard form?

im in math 1314

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Sheila M. | Friendly College Math Professor - understands students' math anxietyFriendly College Math Professor - unders...
4.9 4.9 (63 lesson ratings) (63)

Hi, Brenda.

Here is an example to further explain:

Suppose you are asked to find the square root of -16.  Because there is a negative under the radical, we know we will get an i as part of the answer.  The square root of 16 is  ±4, so we have ±4i.  But this is not in standard form.  In standard form (as Roman said earlier), you need a real number part and an imaginary part.  Our answer for my example is 0 ± 4i  

Hope this helped.

Roman C. | Masters of Education Graduate with Mathematics ExpertiseMasters of Education Graduate with Mathe...
4.9 4.9 (336 lesson ratings) (336)

In standard form, you write z = a+bi.

Here, Re(z) = a is the real part, and Im(z) = b, is the imaginary part.