Surds - Rationalising Denominators

Surds - Rationalising Denominators

Express \(\frac{2}{2-\sqrt{3}}+{{\left( 4+\sqrt{3} \right)}^{2}}\) in the form \(p+q\sqrt{3}\), where\(p\) and \(q\) are integers.

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Answer:\(23+10\sqrt3\); hence \(p=23,\ q=10\)

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