755 prompts matching "Structured question: permutation versus combination in one paper"
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Common Mistakes: Why a rational number added to an irrational one stays irrational
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why
Final Revision: Approximating a surd to three decimal places
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Quiz: Reducing two surds to the same root in order to compare them
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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
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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Explain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
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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Explain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
Spot My Mistake: Rationalising and then cancelling a common factor
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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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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
Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Final Revision: Checking a conjugate answer by multiplying back
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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
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari