Algebra 1 · Chapter 10 · Lesson 10.1 · Printable PDF

Simplifying a Square Root Worksheet with Answer Key

7 problems on simplifying square roots: pulling out perfect squares, roots with variables, cube roots, true-or-false statements, a diagonal across a raised garden bed, and a table top compared with a coaster. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Simplifying a square root worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Write each square root in simplest form.
    \sqrt{72}\sqrt{98}\sqrt{150}\sqrt{192}\sqrt{396}
  2. Simplify each root with non-negative variables.
    \sqrt{50a^4}\sqrt{63c^5}\sqrt{28m^3n^2}\sqrt{200p^6q^9}\sqrt{242u^{10}v^7}
  3. Simplify each cube root.
    \sqrt[3]{-54}\sqrt[3]{192}\sqrt[3]{16x^4}
  4. Fill in each blank with a whole number.
  5. Decide if each root statement is true or false and correct the false ones.
  6. Sarah's garden bed: find the length of a soaker hose across the diagonal.
  7. Table and coaster: write and compare areas and sides using square roots.

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

Simplifying a square root: the lesson ›

More Chapter 10 worksheets: Radicals