755 prompts matching "Quiz me on the using the discriminant to describe the roots"
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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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Practice: Rationalising a denominator with a whole number multiplying the surd
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Explain Back: Simplifying the answer once the denominator is rational
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Spot My Mistake: Rationalising and then cancelling a common factor
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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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Explain Back: The difference of two squares applied to surd conjugates
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Learn: What it means for an operation to be commutative
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Explain Back: What it means for an operation to be associative
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Final Revision: Identity and inverse together, and what they give the set
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Common Mistakes: Why the index laws need the bases to match
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Learn: Why any non-zero number to the power nought is one
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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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Show All Working: The common logarithm, to base ten
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Worked Example: Finding the common difference of an arithmetic progression
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Practice: Finding the twentieth term of a given arithmetic progression
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