Not really Eloise.
$$\sqrt{\frac{1}{3}}$$ is an irrational number.
That means that you can not write it as a fraction with ordinary digits.
You can not write it exactly as a decimal either so I think this is the answer that is wanted
$$\sqrt{\frac{1}{3}}=\frac{1}{\sqrt3}$$
and it is usual to rationalize the denominator so this can be written as
$$\sqrt{\frac{1}{3}}=\frac{1}{\sqrt3}=\frac{1}{\sqrt3}\times \frac{\sqrt3}{\sqrt3}=\frac{\sqrt3}{3}$$
square root of 1/3= 0.5773502691896257
=5773502691896257/10000000000000000
= - 2688496/-4656612
Not really Eloise.
$$\sqrt{\frac{1}{3}}$$ is an irrational number.
That means that you can not write it as a fraction with ordinary digits.
You can not write it exactly as a decimal either so I think this is the answer that is wanted
$$\sqrt{\frac{1}{3}}=\frac{1}{\sqrt3}$$
and it is usual to rationalize the denominator so this can be written as
$$\sqrt{\frac{1}{3}}=\frac{1}{\sqrt3}=\frac{1}{\sqrt3}\times \frac{\sqrt3}{\sqrt3}=\frac{\sqrt3}{3}$$