755 prompts matching "Solving a logarithmic equation and rejecting the invalid root"
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Surds arising from Pythagoras' theorem
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Estimating the value of a surd
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Comparing the size of two surds
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Surds in the quadratic formula
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Multiplying three surds together
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Dividing surds using the quotient rule
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Rationalising the denominator when it's a surd minus a surd
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Working with cube roots as a type of surd
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Set problem leading to a linear equation
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Gradient from a linear equation
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Equation of a line through two given points
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Sketching a straight line from its equation
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Coordinate geometry combined with simultaneous equations
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Solving a double inequality
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Learn: Simplifying root 72 into its simplest form
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Common Mistakes: A surd equation that has no real solution
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Final Revision: A word problem that leads to an equation in surd form
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Practice: A fractional index with numerator one, read as a root
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Common Mistakes: Writing a root as a fractional index before simplifying
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