755 prompts matching "The resultant read off an unclosed polygon"
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Common sign errors in algebraic manipulation
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Common mistakes with composite and inverse functions
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Learn: Telling a rational number from an irrational one
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Worked Example: Why the square root of a non-square whole number is irrational
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Practice: Deciding whether root 16 is rational or irrational
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Quiz: Reducing two surds to the same root in order to compare them
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Practice: Collecting similar surds in an expression
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
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Spot My Mistake: Why root 8 and root 2 turn out to be similar
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Show All Working: Deciding whether two given surds are equal without a calculator
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Final Revision: Surds that cannot be combined at all
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Worked Example: Adding two surds that simplify to the same root
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Learn: Why a surd is never left in the denominator
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Quiz: Rationalising a denominator of the form one over root 3
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Learn: The conjugate of a compound surd expression
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