Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →755 prompts matching "Solving an equation in which the unknown sits under a root"
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Practice: Deciding whether root 16 is rational or irrational
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Subscribe to unlock allSpot My Mistake: The decimal expansion of an irrational number, and why it never repeats
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Subscribe to unlock allWAEC Prep: Pi and root 2 as the two best-known irrational numbers
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Subscribe to unlock allQuiz: Reducing two surds to the same root in order to compare them
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Subscribe to unlock allPractice: Collecting similar surds in an expression
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Subscribe to unlock allExplain Back: Why 2 root 3 and 5 root 3 count as similar surds
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Subscribe to unlock allFinal Revision: Surds that cannot be combined at all
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Subscribe to unlock allWorked Example: Adding two surds that simplify to the same root
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Subscribe to unlock allFinal Revision: Simplifying a fraction whose numerator and denominator are both surds
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Subscribe to unlock allLearn: Why a surd is never left in the denominator
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Subscribe to unlock allQuiz: Rationalising a denominator of the form one over root 3
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Subscribe to unlock allPractice: Rationalising a denominator with a whole number multiplying the surd
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Subscribe to unlock allCommon Mistakes: Rationalising a denominator of the form root a over root b
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Subscribe to unlock allWorked Example: Why multiplying by the conjugate clears the surd
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Subscribe to unlock allQuiz: Rationalising a denominator of the form one over 2 plus root 3
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Subscribe to unlock allPractice: Rationalising a denominator of the form a plus root b over c minus root d
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Subscribe to unlock allSpot My Mistake: Simplifying the denominator once the conjugate has been used
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Subscribe to unlock allCommon Mistakes: Rationalising when both terms of the denominator are surds
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Subscribe to unlock allFinal Revision: Checking a conjugate answer by multiplying back
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Subscribe to unlock allWorked Example: Reading the symbol used for a binary operation
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