1,333 prompts matching "Pi and root 2 as the two best-known irrational numbers"
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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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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Practice: Testing a binary operation for associativity
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Spot My Mistake: The power law of logarithms
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Show All Working: Solving a quadratic by completing the square
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Explain Back: Forming a cubic equation whose three roots are given
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Spot My Mistake: Showing the solution of an inequality on a number line
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Common Mistakes: The range of values of x for which an expression stays positive
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Quiz: The number of arrangements of r objects chosen from n
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Practice: Arrangements when some of the objects are identical
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Show All Working: Arrangements of the letters of a given word
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Explain Back: Choosing a committee with a stated number from each of two groups
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Common Mistakes: Selections in which at least one of a kind must appear
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