Question

Rationalise the denominator of 1/(8+5√2)

Answer 1

Answer:

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Answer 2

Answer:

$\frac{1}{8 + 5 \sqrt{2} } \times \frac{8 - 5 \sqrt{2} }{8 - 5 \sqrt{2} } \\ \rightarrow \: \frac{8 - 5 \sqrt{2} }{ {(8)}^{2} - {(5 \sqrt{2)} }^{2} } \\ \rightarrow \: \frac{8 - 5 \sqrt{2} }{64 - 50} = \frac{8 - 5 \sqrt{2} }{14}$

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