Surds - Rationalising Denominators

Surds - Rationalising Denominators

Express \({{\left( 3-\sqrt{2} \right)}^{2}}-\frac{8}{1-\sqrt{2}}\) in the form of \(a+b\sqrt{2}\), where \(a\) and \(b\) are integers.

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Answer:\(19+2\sqrt2\)

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