Simplify the radical expression by rationalizing the denominator.
5/30
To simplify 5/30, we should first reduce it to lowest terms by dividing both the numerator and denominator by their greatest common factor, which is 5.
5/30 = 1/6
Now we need to rationalize the denominator. The denominator is already a perfect square (6 = 2 x 3) so we just need to multiply both the numerator and denominator by the square root of 6 to get rid of the radical in the denominator.
1/6 × √6/√6 = √6/6
Therefore, the simplified radical expression of 5/30 is √6/6.
To simplify the radical expression $\frac{5}{30}$ by rationalizing the denominator, we need to find a way to get rid of the radical in the denominator.
First, we can simplify the fraction by reducing it to lowest terms. Both 5 and 30 can be divided by 5, so $\frac{5}{30}$ simplifies to $\frac{1}{6}$.
Next, to rationalize the denominator, we need to multiply both the numerator and the denominator by a suitable expression that eliminates the radical in the denominator. In this case, the denominator has no radicals, so we don't need to do anything.
Therefore, the simplified radical expression is $\frac{1}{6}$.