Question

Multiply the radical expressions. Cube root of n−3 times the cube root of n.

a. 5
b. 55
c. n
d. n-1

Answer 1

To multiply the cube roots of n-3 and n, you can combine them into a single radical expression and then multiply them together.

Step-by-step explanation:

To multiply the cube root of n-3 by the cube root of n, we can combine the two radicals into a single radical expression:

(n-3)(n)^(1/3)

Next, we can distribute the exponent of 1/3 to both terms:

(n-3)^(1/3) * n^(1/3)

Finally, we can multiply the two cube roots:

(n-3)^(1/3) * n^(1/3) = (n(n-3))^(1/3)

Therefore, the product of the two radical expressions is (n(n-3))^(1/3).