755 prompts matching "What the formula gives when the discriminant is negative"
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Final Revision: Approximating a surd to three decimal places
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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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Common Mistakes: Expressing root 50 as a multiple of root 2
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Final Revision: Surds that cannot be combined at all
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Quiz: Subtracting one surd from another
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Worked Example: Rationalising a denominator that is a single surd
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Show All Working: Checking a rationalised answer by decimal approximation
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Explain Back: The difference of two squares applied to surd conjugates
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Show All Working: A conjugate where the surd term comes first
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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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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Common Mistakes: A surd equation that has no real solution
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Final Revision: A word problem that leads to an equation in surd form
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Explain Back: A binary operation defined on the integers
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Spot My Mistake: A binary operation defined on a set of three elements
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