Multiplication of 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

Calculate $$\sqrt {99} \times \sqrt {99}$$

Calculate $$\sqrt {3.9} \times \sqrt {3.9}$$

When multiplying surds, we {{}} the radicands.

Match up the multiplications with the simplied answers.

When dividing surds we {{}} the radicands.

Simplify the following expression: $$\sqrt {12} \div \sqrt {3}$$

Three of the surds are like surds. Which one is not?

$$10\sqrt {3} + a\sqrt {3} = -3\sqrt {3}$$. What is the value of $$a$$?

Simplify the expression $$\sqrt {12} + \sqrt {3} - \sqrt {27}$$

True or false? $$\sqrt {20}$$ and $$\sqrt {45}$$ are like terms.

Simplify the expression $$2\sqrt {15} + 3\sqrt {20} - 7\sqrt {80}$$

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

Multiplication of surds

Lesson outcome

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