Final answer:
The expression 6 x √15 is already in its simplest form, as 15 cannot be broken down into square factors. None of the answer choices provided, a) 6√12, b) 3√60, c) 2√90, d) 12√15, are equivalent to the original expression.
Step-by-step explanation:
To solve the mathematical problem completely and find 6 times the square root of 15 expressed as a square root, we should look for an equivalent expression that can be simplified.
6 x √15 is the original expression. None of the options provided (a) 6√12, (b) 3√60, (c) 2√90, (d) 12√15 simplifies to 6√15 directly. However, let's try to simplify 6√15.
We cannot simplify 6√15 directly because 15 is not a perfect square, but we can break 15 into its prime factors, which are 3 and 5. Since neither of these is a square number, we can't pull any factors out of the square root.
Therefore, the expression 6√15, as given, is already in its simplest radical form, and none of the provided options are equivalent to it.
If we encounter an option like 6√15 on the list, that would be the correct choice as it is the same as the original expression we are looking to match.