Multiplying Complex Numbers
Read this topicExplanations 5
- In a moment we're going to be talking about iii, but before that let's start off with a very easy question. What happens when you multiply a number by −1-1−1? When you take a nu…
By Mursalin Habib, Anusha Rahman
- On the complex, multiplication of complex numbers extremely similar to binomial expansion (FOIL). Just treat iii as a variable at first. (3+4i)(2+5i)(3+4i)(2+5i)(3+4i)(2+5i) 3(2…
By Ivan Hu, Anusha Rahman
- (Video) Multiplying Complex Numbers by mathman1024 Here's a video by mathman1024 where he shows you how to multiply two complex numbers together. The first example he does is: (…
By Alex Federspiel, Anusha Rahman
- **Multiplying Complex Numbers**\text{**Multiplying Complex Numbers**}**Multiplying Complex Numbers** Before we start, as a reminder, iii is an imaginary number! When you multipl…
By Caroline K, Anusha Rahman
- Multiplying Complex Numbers A complex number is written in the form: a+bia + bia+bi , where aaa is the real part and bbb is the imaginary part. To multiply complex numbers, you …
By Trisha, Anusha Rahman
Problems 23
- Simplify (4+2i)(4−2i)(4+2i)(4-2i)(4+2i)(4−2i).
- Multiply out (1+i)(1−i)(2+324i)(1+i)(1-i)(2+324i)(1+i)(1−i)(2+324i)
- Simplify (2−3i)2+(5+4i)2.(2-3i)^2 + (5+4i)^2.(2−3i)2+(5+4i)2.
- What is the product of the complex numbers 2+3i2+3i2+3i and 3−4i3-4i3−4i?
- Compute (2−3i)(2+3i)(2-3i)(2+3i)(2−3i)(2+3i).
- Express (−2+i)(1−4i)(-2+i)(1-4i)(−2+i)(1−4i) in standard rectangular form, e.g. in the form a+bia+bia+bi with real numbers aaa and bbb.
- Solve for zzz. z−24i=2\frac{z-2}{4i}=24iz−2=2
- Solve for x.x.x. x−i4x+5i=3\frac{x-i}{4x+5i}=34x+5ix−i=3
- Find the sum of the real and imaginary parts of (1+i)⋅(1+i)(1+i)\cdot (1+i)(1+i)⋅(1+i).
- What is the smallest possible value of ∣(2+3i)−(a+bi)(1+i)∣|(2+3i) - (a+bi)(1+i)|∣(2+3i)−(a+bi)(1+i)∣ for integers a,ba,ba,b?
- What's the product of 1+−51+\sqrt{-5}1+−5 with its complex conjugate?
- What's the product of 1+21+\sqrt{2}1+2 with its complex conjugate? Round your answer to the nearest integer.
- Suppose aaa and bbb are two negative real numbers. Which of the following are possible values of a×b\sqrt{a}\times \sqrt{b}a×b?
- Solve (3+4i)(5−6i).(3+4i)(5-6i).(3+4i)(5−6i).
- What is the value of (1+i)2/2(1+i)^2/2(1+i)2/2?
- Evaluate: (1+2i)(3+4i)(1+2i)(3+4i)(1+2i)(3+4i)
- Evaluate: (2+2i)(3i)(2+2i)(3i)(2+2i)(3i)
- Evaluate for some complex number z=a+biz=a+biz=a+bi: zz‾z\overline{z}zz
- Evaluate for some complex number z=a+biz=a+biz=a+bi: z2z^2z2
- Evaluate for some complex number z=a+biz=a+biz=a+bi: z‾2\overline{z}^2z2
- Evaluate: (i)(9−i)(i)(9-i)(i)(9−i)
- Evaluate: (2+−36)(7−−25)(2+\sqrt{-36})(7-\sqrt{-25})(2+−36)(7−−25)
- Evaluate: (1−−49)(−2−−9)(1-\sqrt{-49})(-2-\sqrt{-9})(1−−49)(−2−−9)