Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →524 prompts matching "Proving that root 2 is irrational"
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Worked Example: Why the square root of a non-square whole number is irrational
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Subscribe to unlock allPractice: Deciding whether root 16 is rational or irrational
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Subscribe to unlock allCommon Mistakes: Rejecting a root that makes a logarithm undefined
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Subscribe to unlock allIGCSE Additional Maths Y10: Proving that a quadratic expression is always positive — Show All Working
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Subscribe to unlock allIGCSE Additional Maths Y10: Proving that a triangle is right-angled using gradients — Exam Technique
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Subscribe to unlock allProving a surd statement is true or false
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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 allShow All Working: Classifying a mixed list of numbers as rational or irrational
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Subscribe to unlock allCommon Mistakes: Why a rational number added to an irrational one stays irrational
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Subscribe to unlock allCommon Mistakes: Expressing root 50 as a multiple of root 2
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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 allCommon Mistakes: Writing a root as a fractional index before simplifying
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Subscribe to unlock allCommon Mistakes: Proving the sum formula by pairing the terms
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Subscribe to unlock allIGCSE Additional Maths Y10: Rejecting a root that the substitution forbids — Show All Working
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Subscribe to unlock allIGCSE Additional Maths Y10: A cubic with only one real root — Common Mistakes
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Subscribe to unlock allDistinguishing rational and irrational numbers
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Subscribe to unlock allSolving a surd equation that gives an extraneous root
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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 allWorked Example: Rationalising a denominator that is a single surd
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Subscribe to unlock allQuiz: Rationalising a denominator of the form one over root 3
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