Question

Rationalise:
$5 - 2 \sqrt{2} \div 5 + 2 \sqrt{2}$
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Answer 1

$\mathfrak{\huge{Answer:-}} \\ \bold{\frac{5 - 2 \sqrt{2} }{5 + 2 \sqrt{2} } }\\ = \frac{5 - 2 \sqrt{2} }{5 + 2 \sqrt{2} } \times \frac{5 - 2 \sqrt{2} }{5 - 2 \sqrt{2} } \\ = \frac{(5 - 2 \sqrt{2} )(5 - 2 \sqrt{2} )}{(5 + 2 \sqrt{2})(5 - 2 \sqrt{2} ) } \\ = \frac{ {(5 - 2 \sqrt{2} )}^{2} }{ {(5)}^{2} - {(2 \sqrt{2}) }^{2} } \\ = \frac{25 + 8 - 20 \sqrt{2} }{25 - 8} \\ = \frac{33 - 20 \sqrt{2} }{17} \\ \boxed{\boxed{\bold{ \frac{5 - 2 \sqrt{2} }{5 + 2 \sqrt{2}} = \frac{33 - 20 \sqrt{2} }{17} }}}$

Answer 2

Answer:

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