Complex Numbers: What Is i?

Explanations 5

• The Discovery of iii When mathematicians were solving quadratic equations, they had an interesting dilemma. If we try to solve the equation x2+1=0x^2 + 1 = 0x2+1=0, we get that …

  By Eric Zhang

• You know how to take square roots of numbers: 9=316=4\sqrt{9} = 3 \\ \sqrt{16} = 49​=316​=4 You also know that sometimes the resulting numbers are irrational. However, let's try…

  By Brandon Lin

• ImaginaryImaginaryImaginary Numbers!!!Numbers!!!Numbers!!! We've all been told in our Algebra 1 class that we cannot take the square root of an negative number. However, this is…

  By Evan Tong

• That's why, mathematicians decided to use iii to represent the value of −1\sqrt{-1}−1​, since it is imaginary and it doesn't exist. Now we often call that a complex number, whic…

  By Daniel Lim Wee Soong, Alex Federspiel

• iii : The imaginary number We'll talk about iii, which is also called the imaginary number. Now, suppose we want to find a real number xxx such that x2=4x^2 = 4x2=4. Sounds easy…

  By Zi Song Yeoh, Alex Federspiel