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Year 11 (2026) Maths Advanced (2026) Surds

Rationalising the Denominator

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Questions
Question 1
124455

Find the values of \(a\) and \(b\) (in simplified form) such that \(\dfrac{3}{4-\sqrt{2}}=a+\sqrt{b}\)

\(a=\dfrac{6}{7}\), \(b  =\dfrac{9}{98}\)

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