Question

Please give correct and step by step solution.
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Answer 1

Answer:

a=231

b=649

Step-by-step explanation:

given that 3-5√5/3+2√5

=(3-5√5)(3-2√5)/(3+2√5)(3-2√5)

=(9-6√5-15√5+10×5)(9-4×5)

=(9-21√5+50)(9-20)

=(59-21√5)(-11)

=(-649+231√5)

=(231√5-649)

so compare the(a√5-b)

hence a=231

and b=649

Answer 2

$\Huge{\textbf{\textsf{\color{navy}{An}{\purple{sW}{\pink{eR{\color{pink}{:-}}}}}}}}$

$\frac{3 - 5 \sqrt{5} }{3 - 2 \sqrt{5} } \\ \\ = \frac{(3 - 5 \sqrt{5} )(3 - 2 \sqrt{5}) }{(3 + 2 \sqrt{5})(3 - 2 \sqrt{5} )} \\ \\ = \frac{9 - 6 \sqrt{5} - 15 \sqrt{5} + 10 \times 5}{(3) {}^{2} - (2 \sqrt{5)} {}^{2} } \\ \\ = \frac{9 - 21 \sqrt{5} + 20 }{9 - 20} \\ \\ = \frac{59 - 21 \sqrt{5} }{ - 11} \\ \\ = \frac{ - 59}{11} + \frac{21}{11} \sqrt{5}$