520 prompts matching "Explain-back: equilibrium of a rigid body"
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Common sign errors in algebraic manipulation
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Learn: Telling a rational number from an irrational one
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Final Revision: Approximating a surd to three decimal places
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Learn: What makes two surds similar
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Worked Example: What makes two surds equal
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Show All Working: Deciding whether two given surds are equal without a calculator
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Final Revision: Surds that cannot be combined at all
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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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Show All Working: Simplifying a surd expression that contains brackets
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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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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Show All Working: Checking a rationalised answer by decimal approximation
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Worked Example: Why multiplying by the conjugate clears the surd
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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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