507 prompts matching "Domain of a function involving a square root"
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Learn: Why a surd is never left in the denominator
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Show All Working: Checking a rationalised answer by decimal approximation
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Show All Working: A conjugate where the surd term comes first
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Final Revision: Checking a conjugate answer by multiplying back
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Common Mistakes: A surd equation that has no real solution
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Final Revision: A word problem that leads to an equation in surd form
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Learn: What a binary operation actually is
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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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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Show All Working: Showing a set is not closed by a single counter-example
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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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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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Show All Working: Using distributivity to simplify an expression
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Final Revision: Why distributivity links two operations rather than one
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