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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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391 prompts matching "Proving two given lines perpendicular from their gradients"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Practice: Deciding whether root 16 is rational or irrational

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Show All Working: Classifying a mixed list of numbers as rational or irrational

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Practice: Collecting similar surds in an expression

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Learn: Simplifying root 72 into its simplest form

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Practice: Multiplying a whole number by a surd

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Show All Working: Simplifying a surd expression that contains brackets

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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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Show All Working: Checking a rationalised answer by decimal approximation

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Learn: The conjugate of a compound surd expression

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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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Learn: Solving an equation with a single square root term

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Worked Example: Squaring both sides safely when solving a surd equation

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Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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