Final answer:
The product of the square roots of 'a' and 'b' is expressed as √(ab), which is Option 4.
Step-by-step explanation:
The expression for the product of the square roots of two numbers 'a' and 'b' is best represented as the square root of their product. In mathematical terms, this is written as √(ab), which means that the correct answer is Option 4: √(ab). To understand why this is the case, recall that taking a square root is the same as raising a number to the 1/2 power. So √(a) ∙ √(b) = a^(1/2) ∙ b^(1/2). According to the properties of exponents, we can add the exponents when multiplying with the same base. In this case, we can 'combine' the two half powers to get (ab)^(1/2), which is equal to √(ab).