MATHEMATICS - SIMPLIFYING RADICALS

Simplifying Radicals Worksheet

  • 10 questions
  • Understand and use surds, including simplifying expressions.
  • Difficulty: Easy
  • Board: CAIE
  • Attempt online on the examination portal

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

Choose the simplest form of √(12).

  1. A) 3√(2)
  2. B) 4√(3)
  3. C) 2√(3)
  4. D) 6√(2)

Q2.

Which square factor should be used to simplify √(18)?

  1. A) 6
  2. B) 2
  3. C) 3
  4. D) 9

Q3.

Complete the simplification √(50) = square√(2). Which number replaces the box?

  1. A) 10
  2. B) 2
  3. C) 25
  4. D) 5

Q4.

Which expression is equivalent to √(72)?

  1. A) 6√(2)
  2. B) 2√(6)
  3. C) 8√(2)
  4. D) 4√(3)

Q5.

Simplify 2√(27).

  1. A) 3√(6)
  2. B) 9√(3)
  3. C) 6√(3)
  4. D) 18√(3)

Q6.

Write √(8) + √(18) in its simplest form.

  1. A) 6√(2)
  2. B) 5√(2)
  3. C) 5√(4)
  4. D) √(26)

Q7.

Simplify √(48) − √(12).

  1. A) √(36)
  2. B) 2√(3)
  3. C) 2√(6)
  4. D) 4√(3)

Q8.

Evaluate √(3) × √(12).

  1. A) √(15)
  2. B) 3
  3. C) 12
  4. D) 6

Q9.

The figure shows a surd simplification with an empty box. Which number belongs in the box?

Diagram for question 9: The figure shows a surd simplification with an empty box. Which number belongs in the box?
  1. A) 5
  2. B) 15
  3. C) 3
  4. D) 25

Q10.

Simplify the surd displayed on the card.

Diagram for question 10: Simplify the surd displayed on the card.
  1. A) 6√(20)
  2. B) 60
  3. C) 6√(5)
  4. D) 3√(5)

What this assessment covers

Concepts Tested

  • simplifying radicals
  • Understand and use surds, including simplifying expressions.

Question Mix

  • Easy questions included

Skills you build

  • Remember

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