303 prompts matching "Adding surds that need simplifying first"
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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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Practice: Converting between index form and logarithm form
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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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Practice: The condition for a quadratic equation to have equal roots
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Show All Working: Solving a quadratic by completing the square
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Practice: Finding alpha minus beta from the sum and the product
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Practice: Factorising a cubic completely once one factor is known
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Show All Working: Solving a cubic equation by factorisation
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Practice: Finding the third root of a cubic when two are known
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Practice: Solving an inequality with the unknown in the denominator
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: The range of values of x for which an expression stays positive
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Practice: Arrangements when some of the objects are identical
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Show All Working: Arrangements of the letters of a given word
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