Questions and Answers
What is the simplified form of $2\sqrt{2}$?
What is the simplified form of $3\sqrt{2}$?
What is the simplified form of $2\sqrt{5}$?
What is the simplified form of $2\sqrt{6}$?
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What is the simplified form of $4\sqrt{2}$?
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What is the simplified form of $2\sqrt{10}$?
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What is the simplified form of $2\sqrt{11}$?
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What is the simplified form of $3\sqrt{6}$?
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What is the simplified form of $4\sqrt{3}$?
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What is the simplified form of $5\sqrt{2}$?
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What is the simplified form of $2\sqrt{15}$?
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What is the simplified form of $6\sqrt{2}$?
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What is the simplified form of $4\sqrt{5}$?
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What is the simplified form of $10\sqrt{2}$?
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What is the simplified form of $10\sqrt{5}$?
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What is the simplified form of $2\sqrt{3}$?
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What is the simplified form of $3\sqrt{3}$?
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What is the simplified form of $5\sqrt{3}$?
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What is the simplified form of $5\sqrt{3}$?
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What is the simplified form of $3\sqrt{6}$?
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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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