743 prompts matching "Structured question: circle with a diameter given by two endpoints"
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Worked Example: What makes two surds equal
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Worked Example: Adding two surds that simplify to the same root
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Practice: Multiplying a whole number by a surd
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Explain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
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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Worked Example: Why multiplying by the conjugate clears the surd
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Explain Back: The difference of two squares applied to surd conjugates
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Learn: Solving an equation with a single square root term
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Practice: Solving an equation with a surd on each side
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Show All Working: Showing a set is not closed by a single counter-example
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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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Explain Back: Showing distributivity fails by a counter-example
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Common Mistakes: Checking an inverse by working the operation both ways
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Common Mistakes: An indicial equation solved by substitution
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