Tutorial

GCSE Maths: Understanding and Simplifying Surds

Understand what a surd is and learn the rules for simplifying surds, multiplying and dividing them, and expanding brackets containing surds.
A close-up shot of a cracked, dry riverbed during a drought, symbolizing the need to "simplify" and find the hidden, essential water source (the simplified surd). The image is shot at golden hour, with warm light illuminating the cracked earth and creating long shadows.

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Deck Contents

27 Cards
Lesson#1
In this deck, you'll learn about surds. We'll cover what a surd is, how to simplify them, and the rules for multiplying, dividing, and expanding brackets with surds. This is a key skill in higher-level maths.
Lesson#2
So, what is a surd? A surd is a way of writing an irrational number exactly, using a square root sign. It's the square root of a number that isn't a perfect square. For example, the square root of 2 is a surd because 2 is not a square number. The same goes for the square root of 3, 5, or 6. However, the square root of 9 is not a surd, because it's exactly 3.
Quiz#3
What is a surd the square root of?

a non-square number

Quiz#4
What type of number is a surd, for example, the square root of 2?

irrational

Quiz#5
Is the square root of 25 a surd?

no

Quiz#6
Is the square root of 10 a surd?

yes

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