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Senior Secondary

Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →
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726 prompts matching "Non-calculator paper: simplify an index expression"

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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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WAEC Prep: Ordering a list of surds by size

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

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Practice: Multiplying a whole number by a surd

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WAEC Prep: Squaring a single surd

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Learn: Why a surd is never left in the denominator

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Worked Example: Rationalising a denominator that is a single surd

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Quiz: Rationalising a denominator of the form one over root 3

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Practice: Rationalising a denominator with a whole number multiplying the surd

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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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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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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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Learn: What a binary operation actually is

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