Simplify each expression as much as possible, and rationalize denominators when applicable. √((1/3)=?

Answer:[tex]\frac{\sqrt{3}}{3}[/tex]Step-by-step explanation:So we start with the original expression to be:[tex]\sqrt{\frac{1}{3}}[/tex]so we need to first split the square root into two, one for the numerator and another one for the denominator so we get:[tex]\frac{\sqrt{1}}{\sqrt{3}}[/tex]we can now simplify that so we get:[tex]\frac{1}{\sqrt{3}}[/tex]we can now rationalize the denominator by multiplying the fraction by [tex]\frac{\sqrt{3}}{\sqrt{3}}[/tex]so we get:[tex]\frac{1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}[/tex]we do the multiplication so we end up with:[tex] \frac{\sqrt{3}}{(\sqrt{3})^{2}} [/tex]which simplifies to:[tex]\frac{\sqrt{3}}{3}[/tex]