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QUESTION

What is the simplest form of the radical expression of ##(sqrt2+sqrt5)/(sqrt2-sqrt5)##?

Rationalize, multiply and combine similar radicals.

##(sqrt2 + sqrt5)/(sqrt2 - sqrt5)= ((sqrt2 + sqrt5))/((sqrt2 - sqrt5))xx((sqrt2 + sqrt5))/((sqrt2 + sqrt5))=(2 +sqrt10+sqrt10 +5)/(2-5)=(7+2sqrt10)/-3##

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