21 Jun Usually the final answer is written as ##sqrt{3}/3## To get
Usually the final answer is written as ##sqrt{3}/3## To get the final answer you need to rationalize the denominator by multiplying by ##1=sqrt{3}/sqrt{3}## as follows: ##sqrt{1/3}=sqrt{1}/sqrt{3}=1/sqrt{3}=1/sqrt{3} * sqrt{3}/sqrt{3}=sqrt{3}/3## It is not mathematically illegal to write this number as ##1/sqrt{3}## (it’s not like dividing by zero or something) but the standard convention is to avoid roots in denominators if possible. This is done for two main reasons: 1) It helps teachers check your answers more easily. 2) Rationalizing the denominator (or numerator for that matter) is a useful skill that can help you solve problems in higher math. For instance in calculus it’s a trick that can often help you solve some problems about limits.
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