675 prompts matching "Raising a complex number to a power by de Moivre's theorem"
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Practice: Deciding whether root 16 is rational or irrational
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Show All Working: Classifying a mixed list of numbers as rational or irrational
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Spot My Mistake: Why root 8 and root 2 turn out to be similar
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Spot My Mistake: Rationalising and then cancelling a common factor
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Worked Example: Why multiplying by the conjugate clears the surd
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Explain Back: The difference of two squares applied to surd conjugates
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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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Practice: Solving an equation with a surd on each side
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Explain Back: A binary operation defined on the integers
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Spot My Mistake: A binary operation defined on a set of three elements
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Final Revision: Deciding whether a given rule really is a binary operation
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Practice: Testing a set for closure under multiplication
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Explain Back: Testing the integers for closure under division
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Common Mistakes: Closure on a set of three elements under a stated rule
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Explain Back: What it means for an operation to be associative
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Show All Working: Using distributivity to simplify an expression
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Learn: What an identity element is
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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