Simplify the radical expression by rationalizing the denominator.
3 over square root 15
A. square root 45 over 15
B. square root 15 over 5
C. 5 square root 15
D. square root 3
B. square root 15 over 5
To rationalize the denominator of the expression (3 / √15), we need to get rid of the square root in the denominator.
To do so, we can multiply both the numerator and denominator by the conjugate of the denominator, which is also √15:
(3 / √15) * (√15 / √15)
Multiplying these two expressions, we get:
(3 * √15) / 15
Therefore, the simplified expression is √15 / 5.
So, the correct answer is B. square root 15 over 5.