The simplified expression of the product [tex]\sqrt[5]{4} \cdot \sqrt 2[/tex] is [tex]\sqrt[10]{2^3}[/tex]
The expression is given as:
[tex]\sqrt[5]{4} \cdot \sqrt 2[/tex]
Express 4 as the square of 2
[tex]\sqrt[5]{2^2} \cdot \sqrt 2[/tex]
Multiply the radicals
[tex]\sqrt[5 * 2]{2^2\cdot 2}[/tex]
Evaluate the products
[tex]\sqrt[10]{2^3}[/tex]
Hence, the simplified expression is [tex]\sqrt[10]{2^3}[/tex]
Read more about radical expressions at:
https://brainly.com/question/8952483
