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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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524 prompts matching "Proving that root 2 is irrational"

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Show All Working: Checking a rationalised answer by decimal approximation

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WAEC Prep: Expressing the answer in the form a plus b root c

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

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Learn: Solving an equation with a single square root term

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WAEC Prep: Equating the rational and the irrational parts of an equation

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Show All Working: Showing a set is not closed by a single counter-example

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Common Mistakes: Closure on a set of three elements under a stated rule

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Common Mistakes: Subtraction as an example of neither law

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Common Mistakes: Checking an inverse by working the operation both ways

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Common Mistakes: Why the index laws need the bases to match

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Show All Working: Simplifying an expression that mixes the index types

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Deciding whether a given number is a term of a sequence

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Common Mistakes: An arithmetic progression with a negative common difference

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Common Mistakes: Inserting a geometric mean between two numbers

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