Math Four Quadrants - Imaginary Numbers
Storyboard Text
- Get what?
- Think about it this way.
- I just don't get it...
- Rationalizing. When there is only one term in the denominator, I can understand but when there are two terms, I can't get it.
- The point of rationalizing is to remove the imaginary number from the denominator right?
- Let's say you have the binomial a + b. What would you multiply to it so that the expression only has squares?
- a-b? So that you get a squared - b squared. What's the point though?
- Let me think...
- Yes.
- Let's say b were to be replaced with an imaginary number. Squaring it will change i into -1 which means both a squared and b squared are not imaginary. This was the goal right?
- Yup. You just need to find the expression that, when multiplied with the denominator, will square the part with the imaginary number. Then make sure to multiply the numerator by that expression as well.
- Ohhh. Alright. And then since I increased the denominator, I have to increase the numerator by the same amount right?
- The term for that expression we need is the conjugate.
- You can do a similar thing for a - b. Just use a + b instead of a -b
- No problem
- Ah okay. Thanks man.
Over 30 Million Storyboards Created