(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) =>
((sqrt(2) + sqrt(5)) * (sqrt(2) + sqrt(5))) / ((sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5))) =>
(2 + 2 * sqrt(10) + 5) / (2 - 5) =>
(7 + 2 * sqrt(10)) / -3 =>
(-1/3) * (7 + 2 * sqrt(10))
a^2 - b^2
2 - 5
-3
I hope this information was very helpful.
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Verified answer
(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) =>
((sqrt(2) + sqrt(5)) * (sqrt(2) + sqrt(5))) / ((sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5))) =>
(2 + 2 * sqrt(10) + 5) / (2 - 5) =>
(7 + 2 * sqrt(10)) / -3 =>
(-1/3) * (7 + 2 * sqrt(10))
a^2 - b^2
2 - 5
-3
I hope this information was very helpful.