Hello,
I was reading my math text book and came upon a portion about complex numbers. "No problem," I thought, "I did this in algebra 2." Well, algebra 2 was some time ago, and I never used it. Now I'm stuck.
Now they're using "j" for what was called "i" in my algebra book. It's equal to: \[ \sqrt{-1} \] The problem is that, in the first image, they say that \[ \frac{1}{j} == -j \] IIRC, \[ \frac{1}{j} == j^{-1} \]
In the cases of the second and third images, I have no idea what they're doing in problem d. They appear to ignore the fact that they're square rooting the whole expression. They seem to assume that the sqrt symbol applies just to the top portion of the expression. I thought, "Maybe the mathematical result is equal between the two." But that's not the case at all according to my TI calculator. Is this just a typo, or am I missing something?
Thanks!
I was reading my math text book and came upon a portion about complex numbers. "No problem," I thought, "I did this in algebra 2." Well, algebra 2 was some time ago, and I never used it. Now I'm stuck.
Now they're using "j" for what was called "i" in my algebra book. It's equal to: \[ \sqrt{-1} \] The problem is that, in the first image, they say that \[ \frac{1}{j} == -j \] IIRC, \[ \frac{1}{j} == j^{-1} \]
In the cases of the second and third images, I have no idea what they're doing in problem d. They appear to ignore the fact that they're square rooting the whole expression. They seem to assume that the sqrt symbol applies just to the top portion of the expression. I thought, "Maybe the mathematical result is equal between the two." But that's not the case at all according to my TI calculator. Is this just a typo, or am I missing something?
Thanks!
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