Do you leave radicals in the denominator?

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SUMMARY

In calculus, it is acceptable to leave radicals in the denominator, as rationalizing is not always necessary. The decision to rationalize should be based on whether it simplifies the expression. If rationalization does not simplify the problem, it is permissible to leave the radical as is. Ultimately, the instructor's preferences may dictate the approach, but in higher mathematics, this is a minor concern.

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lLovePhysics
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I read somewhere that you are supposed to leave radicals in the denominator when dealing with calculus. Before, I used to rationalize them to the numerator but my Calculus book now has the answers written unrationalized. So I'm wondering if I should start getting use to NOT rationalizing radicals in the denominator. Thanks.
 
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lLovePhysics said:
I read somewhere that you are supposed to leave radicals in the denominator when dealing with calculus. Before, I used to rationalize them to the numerator but my Calculus book now has the answers written unrationalized. So I'm wondering if I should start getting use to NOT rationalizing radicals in the denominator. Thanks.

The idea is to rationalize whenever it is simpler. If it makes no difference in simplification then leave it any way you wish.
 
It's sort of like using cursive handwriting. If it's required of you by your instructor, then do it. Otherwise, it really doesn't matter. There are far larger things to worry about in higher mathematics.

- Warren
 

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