582 prompts matching "Setting out Cramer's rule for three simultaneous equations"
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Quiz: Reducing two surds to the same root in order to compare them
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Practice: Collecting similar surds in an expression
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat
Worked Example: Adding two surds that simplify to the same root
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Quiz: Subtracting one surd from another
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Practice: Multiplying a whole number by a surd
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Explain Back: Multiplying root a by root b
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Spot My Mistake: Dividing one surd by another
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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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Practice: Rationalising a denominator with a whole number multiplying the surd
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Explain Back: Simplifying the answer once the denominator is rational
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Spot My Mistake: Rationalising and then cancelling a common factor
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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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Explain Back: The difference of two squares applied to surd conjugates
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Learn: What a binary operation actually is
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Explain Back: A binary operation defined on the integers
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Spot My Mistake: Reading closure off an operation table
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