755 prompts matching "Arrangements in which two particular objects must be kept apart"
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Worked Example: Why the square root of a non-square whole number is irrational
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Quiz: Writing a recurring decimal as a fraction to show it is rational
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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats
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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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Spot My Mistake: Why root 8 and root 2 turn out to be similar
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Learn: Simplifying root 72 into its simplest form
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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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Show All Working: Simplifying a surd expression that contains brackets
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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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Spot My Mistake: Rationalising and then cancelling a common factor
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Show All Working: Checking a rationalised answer by decimal approximation
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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Show All Working: A conjugate where the surd term comes first
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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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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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