755 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
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Explain Back: Where the surds sit on the number line
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Worked Example: What makes two surds equal
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Worked Example: Rationalising a denominator that is a single surd
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Explain Back: Simplifying the answer once the denominator is rational
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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
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Worked Example: Reading the symbol used for a binary operation
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Explain Back: A binary operation defined on the integers
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Worked Example: Testing the even numbers for closure under addition
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Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
Worked Example: Testing a*b against b*a for a given rule
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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
Worked Example: Testing whether star distributes over plus
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Explain Back: Showing distributivity fails by a counter-example
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Explain Back: What an inverse element is
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Worked Example: The law for multiplying powers of the same base
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Explain Back: The law for a product raised to a power
I have just studied the law for a product raised to a power in my SS1 Further Mathematics
Worked Example: Rewriting a negative index as a fraction
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Worked Example: Writing an index statement as a logarithm
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