Simplify 13√27
A. 16√3
B. This radical expression is already fully simplified
C. 39√3
D. 39
The simplified form of 13√27 is 39√3.
Explanation:
To simplify the given expression, we look for perfect square factors of 27. The factors of 27 are 1, 3, 9, and 27. Since 9 is a perfect square, we can simplify the radical by writing 27 as 9 * 3.
13√27 = 13√(9 * 3)
Since 9 is a perfect square, we can take its square root outside the radical:
= 13 * 3√3
= 39√3
Therefore, the simplified form of 13√27 is 39√3. The correct answer is option C.