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8th Grade Math (Math 8) · Chapter 2 · Lesson 2.3 · Printable PDF

Square Roots Worksheet with Answer Key

6 problems on square roots: evaluating, solving equations of the form x squared equals a number, finding mistakes, a quilt of square patches, finding numbers from clues, and a claim about roots getting smaller. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Square roots worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Evaluate each expression, or explain why it is not a real number:
    \sqrt{289}-\sqrt{81}\sqrt{\frac{64}{121}}\sqrt{0.49}\sqrt{0.0009}
  2. Solve each equation, giving every real solution:
    x^2 = 169p^2 = \dfrac{49}{144}t^2 = 0.0121w^2 = -9k^2 = 2\dfrac{1}{4}
  3. Find the mistake in each line and give the correct value:
  4. Word problem: the side length of Hannah's quilt and its patches.
  5. Find the number that fits each clue about its square:
  6. Test Lily's claim that a square root always makes a positive number smaller.

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The free lesson teaches it with worked examples and practice problems.

Square roots: the lesson ›

More Chapter 2 worksheets: Roots, irrational numbers and the real numbers