What is the coefficient when square root of 405
is simplified completely?
The coefficient is 1.
no its not
Apologies for the incorrect response.
To simplify the square root of 405 completely, we can break it down into its prime factorization. The prime factorization of 405 is 3^4 * 5.
Now, let's simplify the square root of 405:
√405 = √(3^4 * 5)
Using the properties of square roots, we can split the square root:
√405 = √(3^4) * √5
Simplifying further:
√405 = (3^2) * √5
√405 = 9√5
Therefore, when the square root of 405 is simplified completely, the coefficient is 9.