Surds - Equating Rational and Irrational Parts
Surds - Equating Rational and Irrational Parts
Suppose \( \left( \sqrt{a} + \sqrt{b} \right)^2 = 23 + 4\sqrt{30} \) where \(a\) and \(b\) are positive integers.
Find \(a\) and \(b\).
Solution:
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Answer:\((a,b)=(8,15)\) or \((15,8)\).
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