755 prompts matching "The identities for one plus tan squared and one plus cot squared"
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Worked Example: Why the square root of a non-square whole number is irrational
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Practice: Deciding whether root 16 is rational or irrational
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
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Worked Example: Adding two surds that simplify to the same root
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Worked Example: Why multiplying by the conjugate clears the surd
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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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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
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WAEC Prep: A rule where distributivity holds one way only
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WAEC Prep: Applying two index laws inside one expression
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Final Revision: Evaluating a numerical expression using the index laws
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Solving an indicial equation where one side must be factorised first
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Practice: Solving 2 to the power x equals 32
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WAEC Prep: Simplifying a logarithmic expression before evaluating it
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WAEC Prep: Solving an exponential equation by taking logarithms of both sides
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