Multiplying (Leaving Cert Mathematics): Quizzes

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What should you replace i2i^2 with when multiplying complex numbers?

−1-1

Given z=2−3iz=2-3i and w=2+4iw=2+4i, what is z⋅wz \cdot w?

16+2i16+2i

What is the first step when multiplying complex numbers?

Expand brackets as usual

In (2−3i)(2+4i)(2-3i)(2+4i), what is −12i2-12i^2 equal to?

1212

What property do complex numbers have under multiplication?

Commutative

After expanding (2−3i)(2+4i)(2-3i)(2+4i) to 4+8i−6i−12i24+8i-6i-12i^2, what's the next step?

Replace i2i^2 with −1-1

In z⋅w=(2−3i)(2+4i)z \cdot w=(2-3i)(2+4i), what is 8i−6i8i-6i?

2i2i

What is the real part of (2−3i)(2+4i)(2-3i)(2+4i)?

1616

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Model Answers by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

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