Question

What is the product of the given radicals.


`√(50)` and
`\sqrt[5]{6}`

a.
`\sqrt[5]{3000}`
b.
`\sqrt[25]{12}`
c.
`\sqrt[50]{3}`
d.
`\sqrt[25]{3}`

Answer 1

the product of the given radical is
`\sqrt[5]{12}`

Explanation:

The computation of the product of the given radicals is as follows

According to the question, the following radical is

`√(50) \ and \sqrt[5]{6}`

Now simplify it

`√(25 * 2) and \sqrt[5]{6}\\\\√(25) √(2) and \sqrt[5]{6}\\\\\sqrt[5]{2} and \sqrt[5]{6}\\\\\sqrt[5]{12}`

Hence, the product of the given radical is
`\sqrt[5]{12}`

This is the answer but the same is not given in the options