Question

What is the product of the given radicals.
$\sqrt{50}$ and $\sqrt[5]{6}$

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

Answer 1

Answer:

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

Step-by-step explanation:

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

According to the question, the following radical is

$\sqrt{50} \ and \sqrt[5]{6}$

Now simplify it

$\sqrt{25 \times 2} and \sqrt[5]{6}\\\\\sqrt{25} \sqrt{2} and \sqrt[5]{6}\\\\\sqrt[5]{2} and \sqrt[5]{6}\\\\\sqrt[5]{12}$

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

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