Simplify the radical expression.
start root 405 end root
A. 5 Start Root 9 End Root
B. 9 Start Root 5 End Root
C. Negative 9 Start Root 5 End Root
D. 45
B. 9 Start Root 5 End Root
To simplify the radical expression √405, we need to find the factors of 405 that are perfect squares.
The prime factorization of 405 is: 3 x 3 x 3 x 3 x 3 x 3 = 3^6
Now, we can simplify the radical expression: √405 = √(3^6)
Since 3^6 contains an even exponent (6), we can simplify the expression as follows:
√(3^6) = 3^3 = 27
Therefore, the simplified form of √405 is 27.
So, the correct answer is not listed.