Exam Questions on Surds
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Examples:
1. (a) Write √45 in the form a √5, where a is an integer.
(b) Express 2(3 + √5)(2 + √5) in the form b + c√5, where b and c are integers.
2. (a) Expand and simplify (4 + √3)(4 - √3).
(b) Express 26/(4+√3) in the form a + b√3, where a and b are integers.
3. (a) Express √108 in the form a√3, where a in an integer.
(b) Express (2 - √3)2 in the form b + c√3 where b and c integers to be found.
4. Simplify (3 + √5)(3 - √5)
5. Simplify (5 - √3)/(2 + √3) giving your answer in the form a + b√3, where a and b are integers.
How to do Surds GCSE A/A* Maths revision?
(simplifying, rationalising)
More Lessons for GCSE Maths
Math Worksheets
Here we have a collection of videos to help GCSE Maths students learn about surds by working through some examination questions.
Surds Exam questionsExamples:
1. (a) Write √45 in the form a √5, where a is an integer.
(b) Express 2(3 + √5)(2 + √5) in the form b + c√5, where b and c are integers.
2. (a) Expand and simplify (4 + √3)(4 - √3).
(b) Express 26/(4+√3) in the form a + b√3, where a and b are integers.
3. (a) Express √108 in the form a√3, where a in an integer.
(b) Express (2 - √3)2 in the form b + c√3 where b and c integers to be found.
4. Simplify (3 + √5)(3 - √5)
5. Simplify (5 - √3)/(2 + √3) giving your answer in the form a + b√3, where a and b are integers.
(simplifying, rationalising)
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