Algebra 1 Flashcards: Simplifying Radicals
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Questions and Answers

What is the simplified form of $2\sqrt{2}$?

  • $\sqrt{2}$
  • $\sqrt{8}$ (correct)
  • $\sqrt{4}$
  • $\sqrt{16}$

    • What is the simplified form of $3\sqrt{2}$?

  • $\sqrt{8}$
  • $\sqrt{18}$ (correct)
  • $\sqrt{12}$
  • $\sqrt{6}$

    • What is the simplified form of $2\sqrt{5}$?

  • $\sqrt{15}$
  • $\sqrt{10}$
  • $\sqrt{20}$ (correct)
  • $\sqrt{25}$

    • What is the simplified form of $2\sqrt{6}$?

    <p>$\sqrt{24}$</p> Signup and view all the answers

    What is the simplified form of $4\sqrt{2}$?

    <p>$\sqrt{32}$</p> Signup and view all the answers

    What is the simplified form of $2\sqrt{10}$?

    <p>$\sqrt{40}$</p> Signup and view all the answers

    What is the simplified form of $2\sqrt{11}$?

    <p>$\sqrt{44}$</p> Signup and view all the answers

    What is the simplified form of $3\sqrt{6}$?

    <p>$\sqrt{45}$</p> Signup and view all the answers

    What is the simplified form of $4\sqrt{3}$?

    <p>$\sqrt{48}$</p> Signup and view all the answers

    What is the simplified form of $5\sqrt{2}$?

    <p>$\sqrt{50}$</p> Signup and view all the answers

    What is the simplified form of $2\sqrt{15}$?

    <p>$\sqrt{60}$</p> Signup and view all the answers

    What is the simplified form of $6\sqrt{2}$?

    <p>$\sqrt{72}$</p> Signup and view all the answers

    What is the simplified form of $4\sqrt{5}$?

    <p>$\sqrt{80}$</p> Signup and view all the answers

    What is the simplified form of $10\sqrt{2}$?

    <p>$\sqrt{200}$</p> Signup and view all the answers

    What is the simplified form of $10\sqrt{5}$?

    <p>$\sqrt{500}$</p> Signup and view all the answers

    What is the simplified form of $2\sqrt{3}$?

    <p>$\sqrt{12}$</p> Signup and view all the answers

    What is the simplified form of $3\sqrt{3}$?

    <p>$\sqrt{27}$</p> Signup and view all the answers

    What is the simplified form of $5\sqrt{3}$?

    <p>$\sqrt{75}$</p> Signup and view all the answers

    What is the simplified form of $5\sqrt{3}$?

    <p>$\sqrt{125}$</p> Signup and view all the answers

    What is the simplified form of $3\sqrt{6}$?

    <p>$\sqrt{54}$</p> Signup and view all the answers

    Study Notes

    Simplifying Radicals

    • 2√2 simplifies to √8 (since 2² × 2 = 8)
    • 3√2 simplifies to √18 (since 3² × 2 = 9 × 2 = 18)
    • 2√5 simplifies to √20 (since 2² × 5 = 4 × 5 = 20)
    • 2√6 simplifies to √24 (since 2² × 6 = 4 × 6 = 24)
    • 4√2 simplifies to √32 (since 4² × 2 = 16 × 2 = 32)
    • 2√10 simplifies to √40 (since 2² × 10 = 4 × 10 = 40)
    • 2√11 simplifies to √44 (since 2² × 11 = 4 × 11 = 44)
    • 3√6 simplifies to √45 (since 3² × 5 = 9 × 5 = 45)
    • 4√3 simplifies to √48 (since 4² × 3 = 16 × 3 = 48)
    • 5√2 simplifies to √50 (since 5² × 2 = 25 × 2 = 50)
    • 2√15 simplifies to √60 (since 2² × 15 = 4 × 15 = 60)
    • 6√2 simplifies to √72 (since 6² × 2 = 36 × 2 = 72)
    • 4√5 simplifies to √80 (since 4² × 5 = 16 × 5 = 80)
    • 10√2 simplifies to √200 (since 10² × 2 = 100 × 2 = 200)
    • 10√5 simplifies to √500 (since 10² × 5 = 100 × 5 = 500)
    • 2√3 simplifies to √12 (since 2² × 3 = 4 × 3 = 12)
    • 3√3 simplifies to √27 (since 3² × 3 = 9 × 3 = 27)
    • 5√3 can simplify to √75 (since 5² × 3 = 25 × 3 = 75)
    • 5√3 also simplifies to √125 (since 5² × 5 = 25 × 5 = 125)
    • 3√6 simplifies to √54 (since 3² × 6 = 9 × 6 = 54)

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    Test your knowledge of simplifying radicals with these Algebra 1 flashcards. Each card presents a radical expression along with its simplified form, helping you master this essential algebraic concept. Perfect for review and quick study.

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