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Senior Secondary

Further Mathematics

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755 prompts matching "The identity that A times its adjoint gives the determinant times the identity"

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Quiz: Reducing two surds to the same root in order to compare them

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Learn: Simplifying root 72 into its simplest form

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Quiz: Subtracting one surd from another

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Show All Working: Simplifying a surd expression that contains brackets

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Common Mistakes: Expanding the product of two surd brackets

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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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Final Revision: Expressing a rationalised answer in the form a root b over c

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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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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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Common Mistakes: A binary operation that is ordinary addition in disguise

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Quiz: Testing the odd numbers for closure under addition

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Final Revision: Why closure is checked before any other property

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Worked Example: Testing a*b against b*a for a given rule

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