391 prompts matching "Proving two given lines perpendicular from their gradients"
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Practice: Deciding whether root 16 is rational or irrational
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Show All Working: Classifying a mixed list of numbers as rational or irrational
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Practice: Collecting similar surds in an expression
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Learn: Simplifying root 72 into its simplest form
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Practice: Multiplying a whole number by a surd
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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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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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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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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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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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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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