√a × √b: Challenge & Extension
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the multiplication of surds of the form √a × √b, designed to challenge and extend Grade 6 students' understanding.
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√a × √b: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate √3 × √12 and simplify your answer.
[2 marks]2.
Find the value of √7 × √28.
[2 marks]3.
Simplify √5 × √20.
[2 marks]4.
Calculate √2 × √18 and provide your simplified answer.
[2 marks]5.
If √a × √b = √(a×b), what is the value of √5 × √15?
[2 marks]6.
Compute √8 × √50 and simplify the result.
[2 marks]7.
A square garden has sides of length √6 meters. Find the area of the garden in simplified surd form.
[3 marks]8.
Calculate the product √3 × √27 and express your answer in simplest form.
[2 marks]9.
A room has a floor area of √2 × √8 square meters. What is the total area in simplest surd form?
[3 marks]10.
Identify and correct the mistake: Simplify √4 × √16 as 8.
[3 marks]11.
A farmer is designing a rectangular pen such that each side length is √10 meters. Find the total fencing needed in simplified surd form.
[3 marks]12.
Challenge: Find the value of √45 × √20 and express your answer in simplest surd form.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet