Gr 10 Math Ch 1: Estimating Surds
15 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following is an example of a surd?

  • 4
  • 3
  • √2 (correct)
  • 1.5

    • What is the nearest perfect square to estimate √15?

  • 25
  • 4
  • 16 (correct)
  • 9 (correct)

    • If 2 < x < 3, which of the following must be true regarding \sqrt{x}?

  • 2 < √x < 3
  • 1 < √x < 2
  • √2 < √x < √3 (correct)
  • 0 < √x < 3

    • What is the value of √16?

    <p>4</p> Signup and view all the answers

    Identify the statement that correctly describes surds.

    <p>Surds are roots of integers that cannot be simplified to rational numbers.</p> Signup and view all the answers

    Which of the following statements about surds is true?

    <p>Surds are the n-th root of numbers that cannot be simplified to rational numbers.</p> Signup and view all the answers

    Which numbers are typically used to estimate surds?

    <p>Perfect squares or cubes surrounding the surd.</p> Signup and view all the answers

    If \sqrt{a} < 4 and \sqrt{b} < 8, what can be inferred about a and b?

    <p>a is less than 16 and b is less than 64.</p> Signup and view all the answers

    Which of the following best describes how to estimate the value of \sqrt{5}?

    <p>Estimate using the perfect square 4, as it is the closest lower perfect square.</p> Signup and view all the answers

    Which of the following inequalities represents the relationship between two surds considering the root properties?

    <p>\sqrt{4} &lt; \sqrt{5} &lt; \sqrt{6}</p> Signup and view all the answers

    Which statement accurately defines a surd?

    <p>The n-th root of a number that cannot be simplified to a rational number.</p> Signup and view all the answers

    What is the correct method to estimate the value of \sqrt{20}?

    <p>Identify that \sqrt{16} = 4 and \sqrt{25} = 5, then interpolate.</p> Signup and view all the answers

    If \sqrt{a} < \sqrt{9} and \sqrt{b} > \sqrt{4}, what can be inferred about the values of a and b?

    <p>a is less than 9 and b is greater than or equal to 4.</p> Signup and view all the answers

    What principle is used to compare two surds, \sqrt[n]{a} and \sqrt[n]{b}?

    <p>If a &lt; b, then \sqrt[n]{a} &lt; \sqrt[n]{b}.</p> Signup and view all the answers

    How does one identify the closest perfect cube when estimating \sqrt[3]{30}?

    <p>Estimate using the perfect cubes of 8 and 27.</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser