Simplifying imaginary numbersi have the answer and steps, but i have no idea how to solve it. if anyone could . √-50=i√50=i•5√2 =5i√2so i'm guessing the 5 and 2 is factored from 50, but how are they picked?

First, you must factor a -1 from the number. -50 = -1 * 50. Then you separate the roots into the product of roots. The square root of -1 is i.

So far we took care of the negative root. Now you need to simplify the square root of 50. Since you are dealing with a square root, you need to find the largest perfect square integer that is a factor of 50. It happens to be 25. 25 is a perfect square integer since it is the square of 5, and 25 is the largest perfect square integer factor of 50 since 2 * 25 = 50. Now we factor 50 into 25 * 2, we separate the roots, and take out the root of 25.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb