Intro to Imaginary Numbers
Read this topicExplanations 5
- Imaginary Numbers: Not Your Average Joe Let's take a trip through time for a second. Think back to elementary school, where you first learned to count. 1,2,3,...1,2,3,...1,2,3,.…
By Brandon Lin, Jonathan Heller, Caroline K, Anusha Rahman
- Let's consider how we would solve equations, specifically quadratic equations, where the discriminant b2−4acb^2 - 4acb2−4ac was negative. Then the square root of it would be the…
By Vivian Loh, Alex Federspiel, Anusha Rahman
- Imaginary Numbers Throughout your math education you've learned about all different sets of numbers. Natural numbers, whole numbers, integers, rational numbers, and irrational n…
By Jonathan Heller, Victor Wang, Anusha Rahman
- (Video) What are imaginary numbers? by Krista King Here's a video from Krista King explaining what imaginary numbers are. Listen closely as Krista goes over the difference betwe…
By Trisha
- Imaginary numbers are a brand new concept, and it may feel hard to wrap your head around it.
By Trisha, Anusha Rahman
Problems 25
- Which of these are real numbers?
- Let S={1,2,…,2014}S = \left\{ 1,2, \dots, 2014 \right\}S={1,2,…,2014}. Suppose that ∑T⊆Si∣T∣=p+qi\sum_{T \subseteq S} i^{\left\lvert T \right\rvert} = p + qiT⊆S∑i∣T∣=p+qi where…
- Which of the following numbers are purely imaginary numbers?
- Is i2i^2i2 a real number?
- Is i3i^3i3 a real number?
- If you multiply two purely imaginary numbers together, do you get a real number?
- Which of the following are real numbers?
- Which of the following sets are contained in the set of rational numbers? Select all that apply.
- Which of the following are rational numbers?
- The set of real numbers contains which of these sets?
- What is the imaginary number iii equivalent to?
- What is i2i^2i2 equal to?
- Solve 9⋅−1\sqrt{9\cdot-1}9⋅−1
- Simplify −21\sqrt{-21}−21
- The basic building block of imaginary numbers is iii, which is defined as: i=−1i = \sqrt{-1}i=−1 Is iii a positive or negative number?
- Is 5+i25+i^25+i2 a real number?
- Is −1\sqrt{-1}−1 a real number?
- Let aaa and bbb be real numbers, and ccc be an imaginary number. Which of the following values are always real? (Select all that apply.)
- Let aaa and bbb be real numbers, and ccc be an imaginary number. Which of the following values could be nonreal? (Select all that apply.)
- If a2a^2a2 is a real number, what can we say about aaa?
- If aaa and bbb are real numbers, which of the following must also be real numbers? (Select all that apply.)
- If aaa and bbb are real numbers, which of the following must also be a real number? (Select all that apply.)
- The ratio of the number of sneakers in the world to the number of feet in the world would fall under which sets?
- Which of these does the reflexive property not work for?
- Help Jaden pick out the real numbers.