1,130 prompts matching "multi-part coordinate geometry question"
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Spot My Mistake: Squaring a bracket that contains a surd
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Show All Working: Expressing a number in the form a root b
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Quiz: Solving an index equation by writing both sides to the same base
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Practice: Converting between index form and logarithm form
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Common Mistakes: Solving an exponential equation using logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Quiz: Forming a quadratic equation whose roots are given
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Practice: The condition for a quadratic equation to have equal roots
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