372 prompts matching "Show that (sqrt3+1)^2 = 4+2sqrt3"
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Combining several index laws in one simplification
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Evaluating (1/2)^-3 without a calculator
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Simplifying indices before adding like terms
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Explaining why a^1/n means the nth root of a
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Combining index and surd notation
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What makes a number a surd
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Simplifying the square root of a larger number
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Adding and subtracting like surds
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Multiplying two surds together
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Expanding a binomial surd bracket
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Squaring a surd expression
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Rationalising a denominator with a single surd
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Rationalising using the conjugate
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Rationalising a more complex conjugate denominator
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Solving a surd equation with terms on both sides
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Surd answers in area and perimeter questions
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Comparing the size of two surds
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Distinguishing rational and irrational numbers
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Surds in the quadratic formula
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Rationalising and then simplifying fully
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