1,332 prompts matching "Combining several index laws in one simplification"
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Final Revision: Deciding whether a set under an operation forms a group
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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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Quiz: Multiplying two surds and simplifying the result
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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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Final Revision: Proving that root 2 is irrational
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Final Revision: Sketching the graph of a logarithmic function
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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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Explain Back: The range of values of k for which the roots are real
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Final Revision: Solving a disguised quadratic by substitution
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Learn: Finding alpha squared plus beta squared from the sum and product
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Quiz: Finding alpha cubed plus beta cubed
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Learn: The degree of a polynomial and its leading coefficient
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Worked Example: Evaluating a polynomial by substitution
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