Answer:
√6 / 6
Step-by-step explanation:
To simplify the expression, we can start by simplifying the square root in the denominator:
√54 = √(9 * 6) = √9 * √6 = 3 * √6
Now we can rewrite the expression as:
3 / √54 = 3 / (3 * √6) = 1 / √6
To rationalize the denominator (eliminate the square root in the denominator), we can multiply the numerator and denominator by the conjugate of the denominator:
1 / √6 * (√6 / √6) = √6 / 6
Therefore, a simplified form of 3 / √54 is √6 / 6.
