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What is the simplest form of the radical expression?
√2+√5/ √2−√5
To simplify √2+√5/ √2−√5, we first need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.
Conjugate of √2−√5 is √2+√5
So, (√2+√5/ √2−√5) * (√2+√5/√2+√5) = (√2*(√2+√5) + √5*(√2+√5)) / ((√2)^2 - (√5)^2)
= (2+√10+√10+5) / (2 - 5)
= (7 + 2√10) / -3
Therefore, the simplest form of the radical expression is (7 + 2√10) / -3.