Question

Rationalise the denominator of 1/5+2root2

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

heya mate ☺

$\frac{1}{5 + 2 \sqrt{2} } \\ \\ = \frac{1}{5 + 2 \sqrt{2} } \times \frac{5 - 2 \sqrt{2} }{5 - 2 \sqrt{2} } \\ \\ = \frac{5 - 2 \sqrt{2} }{(5) ^{2} - (2 \sqrt{2}) ^{2} } \\ \\ = \frac{5 - 2 \sqrt{2} }{25 - 4 \times 2} \\ \\ = \frac{5 - 2 \sqrt{2} }{25 - 8} \\ \\ = \frac{5 - 2 \sqrt{2} }{17}$

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