1,317 prompts matching "Why multiplying by the conjugate clears the surd"
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Learn: The union of two sets written in set-builder notation
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Worked Example: Collecting like surds in a single sum
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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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Learn: The multiplication and division laws of indices used together
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Learn: The sum and the product of the roots read from the coefficients
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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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Show All Working: Finding a coefficient given a stated relation between the roots
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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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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Learn: The sum of the roots of a cubic read from its coefficients
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Learn: The meaning of n factorial, and how to evaluate it
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Show All Working: Arrangements of the letters of a given word
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Learn: The meaning of n choose r, and how to evaluate it
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Show All Working: Counting the handshakes, or the lines joining n points
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