Math CentralQuandaries & Queries


Question from Paige:

how do you write the square root 3 in exponential form

HI Paige,

The exponential form convention is that

\[\sqrt{3} = 3^{1/2}.\]

In fact if $n$ is a positive integer then

\[\sqrt[n]{3} = 3^{1/n}\]

and we write

\[ \sqrt{3} \mbox{ for } \sqrt[2]{3}.\]


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