Final answer:
The correct answer is D) 3ˣ.
Step-by-step explanation:
The expression 3^√6x² can be simplified by applying the rules of exponents. The exponent of 3 is already in radical form, so we can leave it as it is. However, we can simplify the expression by multiplying the exponents of x and 2. Since the exponent of x is 2 and we have a cube root, we can rewrite x² as (x^(2/3)).
So the simplified expression is 3√6(x^(2/3)). Now, we need to find which of the given options is like a radical to this expression.
Option D, 3ˣ, is similar to a radical because it has an unknown exponent. Therefore, the correct answer is D) 3ˣ.