Final answer:
To multiply the cube root of 3 by 4 times the square root of 5, simply multiply the coefficients to get 4. The cube root and the square root parts remain unchanged, resulting in the expression 4√5∛3.
Step-by-step explanation:
The question asks us to multiply the cube root of 3 by 4 times the square root of 5. In mathematical notation, this can be written as ∛3 × 4√5. To solve, we handle the multiplication by considering the two separate parts: the cube root and the square root.
Firstly, there is no direct multiplication between the cube root and the square root parts since they involve different roots. We simply need to multiply the coefficients (the numbers in front) together and keep the roots separate. Multiplying the coefficients, we get 4 times 1 (as the coefficient for the cube root of 3 can be considered as 1), which equals 4.
Therefore, the product in simplified form remains as the cube root of 3 multiplied by 4 times the square root of 5, or 4√5∛3.