Surds - Rationalising Denominators

Surds - Rationalising Denominators

Simplify each of the following surds without using a calculator.

\(\frac{2}{\sqrt{5}-3}\)
\(\frac{10}{\sqrt{2}-5}\)
\(\frac{8}{3\sqrt{7}-1}\)

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Answer:(a) \(-\frac{\sqrt5+3}{2}\) (b) \(-\frac{10\sqrt2+50}{23}\) (c) \(\frac{12\sqrt7+4}{31}\)

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