755 prompts matching "Structured question: find f^-1(x) and verify it"
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Worked Example: Why the square root of a non-square whole number is irrational
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Worked Example: What makes two surds equal
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Worked Example: Adding two surds that simplify to the same root
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Worked Example: Rationalising a denominator that is a single surd
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Worked Example: Why multiplying by the conjugate clears the surd
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Worked Example: Squaring both sides safely when solving a surd equation
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Worked Example: Reading the symbol used for a binary operation
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Worked Example: Testing a*b against b*a for a given rule
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Worked Example: Testing whether star distributes over plus
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Worked Example: The law for multiplying powers of the same base
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Worked Example: Solving an indicial equation where one side must be factorised first
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Worked Example: The alternative sum formula that uses the last term
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Worked Example: Which form of the sum formula to use when r is less than one
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Worked Example: Adding or subtracting the same number on both sides
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Worked Example: Solving the equation modulus of x equals a
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