Algebra 2 · Chapter 5 · Lesson 5.7 · Printable PDF

Simplifying a Square Root Worksheet with Answer Key

7 problems on simplifying a square root: perfect square factors, variables with powers, cube roots, filling in blanks, true-or-false checks, and word problems on a garden bed hose and a table top. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Simplifying a square root worksheet with answer key - Algebra 2 (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, taking every variable to be non-negative:
    \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. Say whether each statement is true or false and correct the false ones.
  6. Word problem: the exact length of a soaker hose across a raised garden bed.
  7. Word problem: the side of a table top with 18 times the area of a coaster.

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

Simplifying a square root: the lesson ›

More Chapter 5 worksheets: Radicals, rational exponents and radical functions