433 prompts matching "Integrating a bracket that must be expanded first"
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Practice: Deciding whether root 16 is rational or irrational
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Learn: What makes two surds similar
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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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Show All Working: Deciding whether two given surds are equal without a calculator
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Common Mistakes: Expressing root 50 as a multiple of root 2
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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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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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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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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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