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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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727 prompts matching "Practice: Finding an unknown force from a closed polygon"

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Worked Example: Why the square root of a non-square whole number is irrational

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Show All Working: Classifying a mixed list of numbers as rational or 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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WAEC Prep: Ordering a list of surds by size

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Show All Working: Deciding whether two given surds are equal without a calculator

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Worked Example: Adding two surds that simplify to the same root

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WAEC Prep: Squaring a single surd

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Show All Working: Simplifying a surd expression that contains brackets

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Common Mistakes: Rationalising a denominator of the form root a over root b

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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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Show All Working: A conjugate where the surd term comes first

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Common Mistakes: Rationalising when both terms of the denominator are surds

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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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