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Imaginary & Complex Numbers

Ashley Girardi

Created on November 16, 2024

Students will simplify expressions or solve equations that involve imaginary numbers or complex numbers.

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Transcript

Module 3

Imaginary & Complex Numbers

start

Instructions

Hint: Look for the green star icon if you need help!

Simplify or solve the practice problems in each section. You must visit all 4 sections. Show your work on blank pieces of paper, then turn it in when done.

Section A: Exponents with i

Section C: Solve Quadratics with i

Section B: Radicals with i

Section D: Operations with i

Solve: 8x2 +96 = 0

Simplify: i 36

Multiply: (2+3i)(3-6i)

Solve: 5x2 +125 = 0

Multiply: (5-2i)(1+3i)

Simplify: i 84

Simplify: i 45

Subtract: (6+4i) - (10-5i)

Subtract: (12+7i) - (3-8i)

Solve: 2x2 + 92 = 4

Solve: 2x2 +25 = -75

Simplify: i 15

Make a prime factor tree for your radicand. Be sure to include -1 as a branch on your tree. Circle all the prime numbers

Solve: 3x2 +10 = -44

Add: (8-2i) + (11+7i)

Use long division to find the remainder. Then use the chart to help you simplify your final answer

Simplify: i 22