739 prompts matching "Structured question: quadratic formula with exact surd answer"
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Explain Back: Where the surds sit on the number line
I have just studied where the surds sit on the number line in my SS1 Further Mathematics c
Worked Example: What makes two surds equal
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Practice: Collecting similar surds in an expression
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat
Worked Example: Adding two surds that simplify to the same root
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Practice: Multiplying a whole number by a surd
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Common Mistakes: Expanding the product of two surd brackets
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Worked Example: Rationalising a denominator that is a single surd
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Explain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
Show All Working: Checking a rationalised answer by decimal approximation
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Worked Example: Why multiplying by the conjugate clears the surd
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Explain Back: The difference of two squares applied to surd conjugates
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Common Mistakes: Rationalising when both terms of the denominator are surds
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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Explain Back: Solving an equation where the surd must be isolated first
I have just studied solving an equation where the surd must be isolated first in my SS1 Fu
Common Mistakes: A surd equation that has no real solution
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Practice: An operation that is not commutative, with a counter-example
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem