Last updated on Oct 23, 2026

Multiplying and Dividing Complex Numbers (Leaving Cert Mathematics): Quizzes

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Multiplying and Dividing Complex Numbers

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What is the value of $i^2$ when working with complex numbers?

$-1$

What is the result of $i(3 - 2i)$ ?

$2 + 3i$

If $z = a + bi$ , what is the conjugate $\overline{z}$ ?

$a - bi$

What is the conjugate of $3 - 4i$ ?

$3 + 4i$

If $z = 3 - 4i$ , what is $z + \overline{z}$ ?

$6$

If $z = 3 - 4i$ , what is $z \times \overline{z}$ ?

$25$

What is the value of $i^3$ ?

$-i$

What is the value of $i^4$ ?

$1$

What is $\frac{4 + 10i}{5}$ in the form $a + bi$ ?

$\frac{4}{5} + 2i$

When dividing by a complex number, what should you multiply by?

Conjugate of denominator

What is the conjugate of $(2 - 3i)$ used in division?

$2 + 3i$

What is $(2 + 3i)(-4 + 5i)$ ?

$-23 - 2i$

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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