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Cambridge IGCSE Mathematics practice

MCQ practice - Comprehend and apply the concept of surds, which involves simplifying expressions such as √20 = 2√5 and √(200 - 32) = 6√2. Additionally, rationalize denominators in expressions like √10 = 2√5/5 and 1/(1 + √3) = (1 - √3)/(2 - 1). - Surds

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At a glance

MCQ

Type

cambridge_mcq

Style

Topic

Surds

Exam-style question

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Which of the following is the simplified form of \( \sqrt{45} \)?.

  1. A.\( 3\sqrt{5} \)
  2. B.\( 5\sqrt{3} \)
  3. C.\( 9\sqrt{5} \)
  4. D.\( \sqrt{9} + \sqrt{5} \)

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  • Topic focus: Surds.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Surds

Paper 2Core or Extended Mathematics5 marks

Description

Simplify Surds

Simplify the following surds and express your answers in simplest form.

Expression
\( \sqrt{20} \)
\( \sqrt{200 - 32} \)
  1. a

    Calculate Simplify \( \sqrt{20} \).

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate Simplify \( \sqrt{200 - 32} \).

    Aim for approximately 3 distinct marking points.

    [3]