335 prompts matching "Simplifying algebraic fractions that need factorising a quadratic first"
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Explaining the difference between an expression and an equation
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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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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Practice: Collecting similar surds in an expression
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Show All Working: Deciding whether two given surds are equal without a calculator
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Practice: Multiplying a whole number by a surd
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Common Mistakes: Expanding the product of two surd brackets
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Practice: Solving an equation with a surd on each side
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Practice: A binary operation set out as a table
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Practice: Testing a set for closure under multiplication
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Show All Working: Showing a set is not closed by a single counter-example
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