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 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

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

Penny