√3/3
cot(π/3)
The expression √3/3 is a fraction that describes the ratio of the square root of 3 and 3. To simplify this fraction, we need to eliminate the square root in the numerator.
We can do this by rationalizing the denominator, which involves multiplying both the numerator and the denominator by the conjugate of the denominator. In this case, the conjugate of 3 is also 3, so we can just multiply by 3/3:
√3/3 * 3/3 = (√3 * 3)/(3 * 3) = (3√3)/9
Simplifying this expression, we can divide both the numerator and the denominator by the greatest common factor of 3:
(3√3)/9 = √3/3
Therefore, the simplified form of the expression √3/3 is √3/3.
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