√a × √b: Fluency & Practice

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on simplifying products of surds of the form √a × √b, designed for Year 9 students to develop procedural fluency and problem-solving skills.

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Full preview • 12 questions

√a × √b: Fluency & Practice

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Simplify: √3 × √12
[2 marks]
2.
Calculate the value of √5 × √20
[2 marks]
3.
Simplify: √7 × √28
[2 marks]
4.
Express as a simplified surd: √8 × √2
[2 marks]
5.
Calculate: √15 × √3
[2 marks]
6.
Simplify: √50 × √2
[2 marks]
7.
Evaluate: √18 × √2
[2 marks]
8.
Express in simplest form: √32 × √8
[2 marks]
9.
Calculate the value of √45 × √20
[2 marks]
10.
Simplify: √12 × √75
[2 marks]
11.
A rectangular garden has sides of √18 meters and √8 meters. Find its area in simplified surd form.
[3 marks]
12.
A student simplifies √50 × √2 and gets 10√2. Identify and correct the mistake in their calculation.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet