1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"
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Practice: Testing a binary operation for associativity
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Worked Example: Collecting like surds in a single sum
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Common Mistakes: Solving an exponential equation using logarithms
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Explain Back: Solving an inequality that involves a modulus
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Common Mistakes: The range of values of x for which an expression stays positive
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Practice: Arrangements when some of the objects are identical
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Common Mistakes: Arrangements restricted at the first or the last place
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Practice: Choosing a committee that must contain one particular person
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Explain Back: Choosing a committee with a stated number from each of two groups
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Common Mistakes: Selections in which at least one of a kind must appear
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Final Revision: Proving an identity by working on one side only
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