Lesson 2.2.1
2.2.1 Surds and rationalising the denominator Quiz: Pearson Edexcel Maths, Unit 2
20 questions
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Lesson 2.2.1, Surds and rationalising the denominator: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 2: Algebra and functions, written with Revision Ninja.
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The 20 questions
-
What is the exact value of sqrt(50) in its simplest surd form?
- 2 sqrt(5)
- 10 sqrt(5)
- 5 sqrt(2)
- 25 sqrt(2)
-
Simplify the surd expression sqrt(12) + sqrt(27).
- 5 sqrt(3)
- sqrt(39)
- 3 sqrt(5)
- 7 sqrt(3)
-
Expand and simplify the bracket expression sqrt(3)(sqrt(6) + 3).
- 3 sqrt(6) + 3
- 3 sqrt(2) + 3 sqrt(3)
- sqrt(18) + 3
- 3 sqrt(18)
-
Expand the brackets (2 + sqrt(5))(2 - sqrt(5)).
- -1
- 1
- 4 - 5 sqrt(5)
- 9 + 4 sqrt(5)
-
Expand and simplify the bracket product (3 + sqrt(2))^2.
- 7 + 6 sqrt(2)
- 11 + 3 sqrt(2)
- 11 + 6 sqrt(2)
- 9 + 2
-
Rationalise the denominator of 6 / sqrt(3).
- 6 sqrt(3) / 3
- 2 / sqrt(3)
- 2 sqrt(3)
- 3 sqrt(2)
-
Rationalise the denominator of 1 / (sqrt(5) - 2).
- sqrt(5) / 5
- sqrt(5) - 2
- sqrt(5) + 2
- 1 / sqrt(5)
-
Rationalise the denominator of the fraction 10 / (sqrt(7) + sqrt(2)).
- sqrt(7) - sqrt(2)
- 10 sqrt(7) - 10 sqrt(2)
- 2 sqrt(7) - 2 sqrt(2)
- 2 sqrt(7) + 2 sqrt(2)
-
What is the result of multiplying sqrt(8) by sqrt(18)?
- 26
- 6 sqrt(6)
- 12
- 144
-
Express 3 / (2 sqrt(5)) with a rational denominator.
- 3 sqrt(5) / 5
- 3 sqrt(5) / 10
- 3 sqrt(5) / 2
- 3 / 10
-
Simplify sqrt(75) - sqrt(12) to a single surd term.
- sqrt(63)
- 5 sqrt(3)
- 3 sqrt(3)
- 3 sqrt(5)
-
Find the exact area of a rectangle with sides 3 sqrt(2) cm and 5 sqrt(8) cm.
- 60 cm^2
- 120 cm^2
- 30 cm^2
- 15 sqrt(10) cm^2
-
Solve for positive x if x^2 = 45, giving your answer as a simplified surd.
- 9 sqrt(5)
- 15 sqrt(3)
- 3 sqrt(5)
- 5 sqrt(3)
-
Write 2 / (3 - sqrt(7)) with a rational denominator in simplest form.
- 3 + sqrt(7)
- 6 + 2 sqrt(7)
- (3 + sqrt(7)) / 2
- 3 - sqrt(7)
-
Evaluate (sqrt(2) + 1)^3 giving a simplified surd form.
- 3 sqrt(2) + 3
- 7 sqrt(2) + 5
- 5 sqrt(2) + 7
- 2 sqrt(2) + 1
-
If p = sqrt(3) and q = sqrt(12), what is the exact value of p times q?
- 6 sqrt(3)
- 3 sqrt(3)
- 6
- 36
-
Rationalise the denominator of (4 + sqrt(2)) / sqrt(2).
- 4 sqrt(2) + 2
- 2 + sqrt(2)
- 2 sqrt(2) + 1
- 4 + 1
-
Find the perimeter of a square with side length 4 / sqrt(2) cm.
- 8 sqrt(2) cm
- 4 sqrt(2) cm
- 16 sqrt(2) cm
- 16 cm
-
Simplify sqrt(80) - sqrt(20) + sqrt(5) into a single surd term.
- 7 sqrt(5)
- 5 sqrt(5)
- 3 sqrt(5)
- sqrt(65)
-
Find the value of k if 18 / sqrt(2) = k sqrt(2).
- 18
- 3
- 9
- 6
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