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"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz: Writing a recurring decimal as a fraction to show it is rational
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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 allExplain Back: Why 2 root 3 and 5 root 3 count as similar surds
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Subscribe to unlock allWAEC Prep: Ordering a list of surds by size
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Subscribe to unlock allExplain Back: Multiplying root a by root b
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Subscribe to unlock allLearn: Why a surd is never left in the denominator
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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 allExplain Back: Simplifying the answer once the denominator is rational
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Subscribe to unlock allSpot My Mistake: Rationalising and then cancelling a common factor
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Subscribe to unlock allWAEC Prep: Rationalising a denominator inside a larger expression
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Subscribe to unlock allQuiz: Checking a surd equation for extraneous roots
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Subscribe to unlock allExplain Back: Solving an equation where the surd must be isolated first
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Subscribe to unlock allLearn: What a binary operation actually is
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Subscribe to unlock allFinal Revision: Deciding whether a given rule really is a binary operation
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Subscribe to unlock allExplain Back: Testing the integers for closure under division
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Subscribe to unlock allFinal Revision: Why closure is checked before any other property
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Subscribe to unlock allFinal Revision: Why brackets matter when an operation is not associative
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Subscribe to unlock allLearn: What it means for one operation to distribute over another
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Subscribe to unlock allWorked Example: Testing whether star distributes over plus
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Subscribe to unlock allQuiz: Left distributivity and right distributivity
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