To simplify the expression 13√27, we can first simplify the square root of 27. We know that the prime factorization of 27 is 3^3. So, we can rewrite the expression as 13√(3^3).
To simplify the square root of 3^3, we can rewrite it as the square root of 3 multiplied by the square root of 3 squared. This can be written as √3 * (3^2)^(1/2).
Simplifying this further, we have √3 * 3^(2/2) which is √3 * 3^1.
Finally, we can multiply 13 by √3 * 3^1, giving us 13 * (√3 * 3).
Therefore, the simplified expression is 39√3.
The correct answer is C. 39√3.
Simplify 13√27
A. 39
B. 16√3
C. 39√3
D. This radical expression is already simplified
1 answer