Question

simplify by rationalising the denominator 5-2root2/5+2root2​

Answer 1

Answer:

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Answer 2

Answer:

$\frac{5 - 2 \sqrt{2} }{5 + 2 \sqrt{2} } \times \frac{5 - 2 \sqrt{2} }{5 - 2 \sqrt{2} }$

$= \frac{ { \sqrt{5} }^{2} - 2(2 \sqrt{2} \times 5 + {2 \sqrt{2} }^{2} ) }{ { \sqrt{5} }^{2} - {2 \sqrt{2} }^{2} }$

$= \frac{5 - 20 \sqrt{2} + 8}{5 - 8}$

$= \frac{13 - 20 \sqrt{2} }{ - 3}$

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