755 prompts matching "Factorising fully, and knowing when to stop"
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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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Practice: Collecting similar surds in an expression
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Final Revision: Surds that cannot be combined at all
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Practice: Multiplying a whole number by a surd
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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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Final Revision: Checking a conjugate answer by multiplying back
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Learn: Solving an equation with a single square root term
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Practice: Solving an equation with a surd on each side
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Common Mistakes: A surd equation that has no real solution
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Learn: What a binary operation actually is
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Practice: A binary operation set out as a table
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Final Revision: Deciding whether a given rule really is a binary operation
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Learn: What closure means for a binary operation
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Practice: Testing a set for closure under multiplication
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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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