A factor is a term which exactly divides another term.

A perfect square is a number that is the second exponent of an integer. It is usually shortened to square number.

A surd is an irrational number expressed as the root of a rational number.

The radicand is the value inside the radical symbol.

Identifying square factors to support simplifying surds

Maths

In the prior unit, pupils explored the concept of square root, including calculating this on their calculators. In this unit, pupils work with surds and the notion that a surd is both an operation and the result of that operation.

Surds

Write an equivalent expression for $$\sqrt {2^4 \times 5^2}$$ that does not involve the radical sign.

True or false? $$\sqrt {40}$$ is in its simplest form.

Which of these is **not** a square factor of 64?

Which of these is **not** a square factor of 2700?

True or false? The highest square factor of 108 is 9.

True or false? The group of integers would include values like 0.27

An {{}} number is one that **cannot** be written in the form $$a \over b$$ where $$a$$ and $$b$$ are both integers and $$b \ne 0$$.

This lesson will be removed by end of Summer Term 2025.

Identifying square factors to support simplifying surds

Lesson outcome

This lesson will be removed by end of Summer Term 2025.