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To rationalize a monomial denominator, multiply the numerator and denominator by a radical that will eliminate the radical in the denominator.
D
To simplify the given expression, we can first rewrite the radical as a quotient of two radicals.
a/b=a * sqrt(10)/b * sqrt(10)
sqrt(a)*sqrt(b)=sqrt(a* b)
Split into factors
a* a=a^2
sqrt(a* b)=sqrt(a)*sqrt(b)
sqrt(a^2)=a
a/b=.a /5./.b /5.
We know that we have successfully rationalized the denominator because the radical has been eliminated. Therefore, the correct choice is D.