√a × √b: Mixed Review
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet covering the multiplication of surds of the form √a × √b, including procedural practice, problem-solving, real-world contexts, and extension questions.
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Full preview • 11 questions
√a × √b: Mixed Review
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of √16 × √25.
[2 marks]2.
Simplify √9 × √49.
[2 marks]3.
Calculate √36 × √64.
[2 marks]4.
Express as a simplified surd: √2 × √8.
[3 marks]5.
Calculate the exact value of √18 × √50.
[3 marks]6.
Simplify √12 × √75.
[3 marks]7.
A rectangle has length √18 meters and width √8 meters. Find its area in simplest surd form.
[4 marks]8.
If √a × √b = 24 and a = 9, find the value of b.
[4 marks]9.
Construct a triangle on the grid with sides √32, √50, and √18. Ensure the triangle is valid.
[4 marks]10.
Identify and correct the mistake in this calculation: √36 × √49 = √(36+49) = √85.
[4 marks]11.
Challenge: Simplify √81 × √20 and express your answer in simplest surd form.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet