1,325 prompts matching "Rationalising when both terms of the denominator are surds"
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Learn: The union of two sets written in set-builder notation
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Quiz: The complement of a set within a stated universal set
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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Show All Working: Solving an equation written in terms of a binary operation
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Learn: The multiplication and division laws of indices used together
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Quiz: Solving an index equation by writing both sides to the same base
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Spot My Mistake: The power law of logarithms
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Learn: The sum and the product of the roots read from the coefficients
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Show All Working: Solving a quadratic by completing the square
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Learn: The degree of a polynomial and its leading coefficient
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Learn: The sum of the roots of a cubic read from its coefficients
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Quiz: The product of the roots of a cubic
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Spot My Mistake: Showing the solution of an inequality on a number line
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Learn: The meaning of n factorial, and how to evaluate it
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Quiz: The number of arrangements of r objects chosen from n
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Learn: The meaning of n choose r, and how to evaluate it
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Quiz: The compound angle formula for sine of A plus B
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Quiz: Solving tan x equals a given value, and the period of the tangent
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