Question

What is the following product?

RootIndex 3 StartRoot 4 EndRoot times StartRoot 3 EndRoot
2 (RootIndex 6 StartRoot 9 EndRoot)
RootIndex 6 StartRoot 12 EndRoot
RootIndex 6 StartRoot 432 EndRoot
2 (RootIndex 6 StartRoot 3,888 EndRoot)

Answer 1

C edge 2021 :)

Explanation:

Answer 2

RootIndex 6 StartRoot 432 EndRoot

Explanation:

To find the following product

`\sqrt[3]{4} * √(3)`

we can rewrite the radicals and then replace them into the multiplication, as follows:

`\sqrt[3]{4} = 4^{(1)/(3)} = 4^{(1)/(3) * (2)/(2)} = 4^{(2)/(6) = \sqrt[6]{16}`

`√(3) = 3^{(1)/(2)} = 3^{(1)/(2) * (3)/(3)}} = 3^{(3)/(6)} = \sqrt[6]{27}`

`\sqrt[3]{4} * √(3) = \sqrt[6]{16} * \sqrt[6]{27} = \sqrt[6]{16 * 27} = \sqrt[6]{432}`