Surds - Rationalising Denominators

Surds - Rationalising Denominators

TGM Original Questions

Express \(\frac{5+\sqrt{2}}{5-\sqrt{2}}\) in the form \(a+b\sqrt{2}\). Here \(a\) and \(b\) are rational numbers.

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Answer:\(\displaystyle\frac{27 + 10\sqrt{2}}{23}\)

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