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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "An answer left in surd form after completing the square"

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

Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising

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Spot My Mistake: Rationalising and then cancelling a common factor

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

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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

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Spot My Mistake: Reading closure off an operation table

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Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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Show All Working: An operation that is associative but not commutative

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Show All Working: Using distributivity to simplify an expression

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Quiz: Finding the identity element from an operation table

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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Show All Working: An element with no inverse under a given operation

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Show All Working: Simplifying an expression with letters and indices

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Quiz: A negative index on a fraction, and turning it upside down

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

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Quiz: An indicial equation that becomes a quadratic in a power

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