755 prompts matching "Test me under exam conditions on permutations and combinations"
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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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Worked Example: What makes two surds equal
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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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Spot My Mistake: Why root 8 and root 2 turn out to be similar
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Quiz: Subtracting one surd from another
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Spot My Mistake: Dividing one surd by another
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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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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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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Learn: Solving an equation with a single square root term
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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