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Common Mistakes: Rationalising a denominator of the form root a over root b
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Final Revision: Expressing a rationalised answer in the form a root b over c
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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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Final Revision: Checking a conjugate answer by multiplying back
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Worked Example: Squaring both sides safely when solving a surd equation
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Spot My Mistake: A binary operation defined on a set of three elements
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Learn: What closure means for a binary operation
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Common Mistakes: Closure on a set of three elements under a stated rule
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
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Quiz: Reading commutativity off a symmetrical operation table
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Show All Working: An operation that is associative but not commutative
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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