Square Roots

36 MCQs

MCQs

36 questions · 35 min · 36 marks

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Sample questions

The first 5 of 36. Try each one, then tap to see the answer.

  1. Question 1

    The square root of an algebraic expression is an expression that:

    • Awhen added to itself gives the expression
    • Bwhen multiplied by 2 gives the expression
    • Cis the reciprocal of the expression
    • Dwhen multiplied by itself gives the expression
    Show answer

    Answer: D

    A square root multiplied by itself gives the original expression.

  2. Question 2

    The square roots of 4a² are:

    • A2a only
    • B2a and −2a
    • C4a and −4a
    • Da² and −a²
    Show answer

    Answer: B

    2a × 2a = 4a² and (−2a) × (−2a) = 4a².

  3. Question 3

    The square root of an algebraic expression can be found by:

    • Afactorization and division methods
    • Baddition and subtraction
    • Conly graphs
    • Donly the HCF method
    Show answer

    Answer: A

    The two methods taught are factorization and division.

  4. Question 4

    The square root of x² − 6x + 9 is:

    • A±(x + 3)
    • B±(x² − 3)
    • C±(x − 3)
    • D±(x² + 9)
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    Answer: C

    x² − 6x + 9 = (x − 3)² so its square root is ±(x − 3).

  5. Question 5

    The square root of x² + 2x + 1 is:

    • A±(x − 1)
    • B±(x + 1)
    • C±(x² + 1)
    • D±(2x + 1)
    Show answer

    Answer: B

    x² + 2x + 1 = (x + 1)².

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