636 prompts matching "Comparing a line arrangement with a circular one"
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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats
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Final Revision: Approximating a surd to three decimal places
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Learn: What makes two surds similar
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Worked Example: What makes two surds equal
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Quiz: Reducing two surds to the same root in order to compare them
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Spot My Mistake: Why root 8 and root 2 turn out to be similar
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Final Revision: Surds that cannot be combined at all
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Learn: Simplifying root 72 into its simplest form
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Worked Example: Adding two surds that simplify to the same root
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Learn: Why a surd is never left in the denominator
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Worked Example: Rationalising a denominator that is a single surd
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Spot My Mistake: Rationalising and then cancelling a common factor
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Learn: The conjugate of a compound surd expression
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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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Final Revision: Checking a conjugate answer by multiplying back
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Worked Example: Squaring both sides safely when solving a surd equation
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Quiz: Checking a surd equation for extraneous roots
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