500 prompts matching "Prove command word: line does not intersect a curve"
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Show All Working: Deciding whether two given surds are equal without a calculator
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Learn: Simplifying root 72 into its simplest form
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Worked Example: Adding two surds that simplify to the same root
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Explain Back: Multiplying root a by root b
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Show All Working: Simplifying a surd expression that contains brackets
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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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Explain Back: Simplifying the answer once the denominator is rational
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Show All Working: Checking a rationalised answer by decimal approximation
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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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Show All Working: A conjugate where the surd term comes first
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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Explain Back: Solving an equation where the surd must be isolated first
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
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Learn: What a binary operation actually is
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Worked Example: Reading the symbol used for a binary operation
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Explain Back: A binary operation defined on the integers
I have just studied a binary operation defined on the integers in my SS1 Further Mathemati