Question

need answer with proper explanation urgently 50 points quite a big deal ​

Answer 1

Answer:

-0.25902581391

Step-by-step explanation:

Hope it helps you

Answer 2

Step-by-step explanation:

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$\frac{1}{3 - 2 \sqrt{2} + \sqrt{5} }$

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here we have to rationalise the denominator

=

$\frac{1}{3 - 2 \sqrt{2} + \sqrt{5} } \times \frac{3 - 2 \sqrt{2} - \sqrt{5} }{3 - 2 \sqrt{2} - \sqrt{5} } = \\ \frac{3 - 2 \sqrt{2} - \sqrt{5} }{ ({3 - 2 \sqrt{2} })^{2} - { \sqrt{5} }^{2} } \\ \frac{3 - 2 \sqrt{2} - \sqrt{5} }{ {3}^{2} -2 \times 2 \sqrt{2} \times \sqrt{5} + \sqrt{ {5}^{2} } - 5 } \\ \frac{3 - 2 \sqrt{2} - 5}{9 - 4 \sqrt{10} + 5 - 5 } \\ \frac{3 - 2 \sqrt{2} - 5 }{9 - 4 \sqrt{10} }$

again rationalise till the denominator not becomes a integer

$\frac{3 - 2 \sqrt{2} - 5 }{9 - 4 \sqrt{10} } \times \frac{9 + 4 \sqrt{10} }{9 + 4 \sqrt{10} } \\ = \frac{27 + 12 \sqrt{10 } - 18 \sqrt{2} - 8 \sqrt{20} - 45 - 20 \sqrt{10} }{81 - 160} \\ \frac{ - 18 - 8 \sqrt{10} - 18 \sqrt{2} - 16 \sqrt{5} }{ - 79} \\ - cancel \: from \: all$