755 prompts matching "Learn: The formula for the general term of an expansion"
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Worked Example: Adding two surds that simplify to the same root
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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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Worked Example: Why multiplying by the conjugate clears the surd
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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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: Testing a set for closure under multiplication
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Practice: An operation that is not commutative, with a counter-example
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Show All Working: An operation that is associative but not commutative
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Worked Example: Testing whether star distributes over plus
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Quiz: Left distributivity and right distributivity
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Practice: Why an identity element must work from both sides
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Show All Working: An element with no inverse under a given operation
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