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**Surds Exam questions**

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.

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)

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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