Lesson 1.3
1.3 Manipulation of surds, including rationalising the denominator Quiz: AQA Further Maths, Unit 1
20 questions
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Lesson 1.3, Manipulation of surds, including rationalising the denominator: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 1: Number, written with Revision Ninja.
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The 20 questions
-
Simplify √50.
- 25√2
- 2√5
- 5√2
- 10√5
-
Rationalise the denominator of 1/√3.
- √3/3
- √3
- 1/3
- 3√3
-
Simplify √8 × √2.
- 2√2
- 16
- √10
- 4
-
Simplify (√7)^2.
- 7
- √7
- 14
- 49
-
Which of these is a surd?
- √16
- √11
- 2/3
- 0.25
-
Expand and simplify (2 + √3)(2 − √3).
- 4√3
- 1
- 4 − 2√3
- 7
-
Simplify √45.
- 9√5
- 5√3
- √15
- 3√5
-
Simplify 3√2 + 2√2.
- 5√4
- 5√2
- 6√2
- √10
-
Simplify √72 + √32, giving the answer in the form a√2.
- 9√2
- 8√2
- 10√2
- 10√4
-
Rationalise the denominator of 4/(2 + √2).
- 2 + 2√2
- 2 − √2
- 4 − 2√2
- 4 + 2√2
-
Simplify (3√5)(2√10).
- 30√10
- 6√15
- 30√2
- 6√50
-
Write √12 + √27 in the form a√3.
- 5√3
- 6√3
- 5√6
- 4√3
-
Rationalise the denominator of 1/(√5 − 2).
- 2√5 + 1
- √5 + 2
- √5 − 2
- 5 + 2√5
-
Evaluate (√3)^4.
- 3√3
- 6
- 12
- 9
-
Simplify 6/√12.
- √3
- 3
- 2√3
- 3√3
-
Expand and simplify (√2 + 1)^2.
- 3 + 2√2
- 3 + √2
- 2 + 2√2
- 1 + 2√2
-
Rationalise and simplify (3 + √2)/(3 − √2).
- (11 − 6√2)/7
- (7 + 6√2)/7
- (11 + 6√2)/9
- (11 + 6√2)/7
-
Rationalise the denominator of (5√3 − 2)/(√3 + 1) and write the result in the form a + b√3.
- (17 − 7√3)/4
- (15 − 7√3)/2
- (17 − 7√3)/2
- (17 + 7√3)/2
-
Simplify √200 − √98 + √18.
- 6√2
- 8√2
- 4√2
- 2√6
-
Express (2√3)^3 in the form a√3.
- 18√3
- 24√3
- 12√3
- 8√3
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