Answer:
3 4 sqrt 5
I do not know the explanation but that is the correct answer just took it
Answer:
[tex]\boxed{3\sqrt[4]{5}}[/tex]
Step-by-step explanation:
The given quotient is
[tex]\frac{\sqrt[4]{810} }{\sqrt[4]{2} }[/tex]
We write one radical for the quotient to obtain;
[tex]=\sqrt[4]{\frac{810}{2} }[/tex]
We simplify the radicand (the expression under the radical sign) to obtain;
[tex]=\sqrt[4]{405}[/tex]
Find the the prime factorization of the simplified radicand to get;
[tex]=\sqrt[4]{3^4\times 5}[/tex]
We now split the radical to get;
[tex]=\sqrt[4]{3^4}\times \sqrt[4]{5}[/tex]
This finally simplifies to;
[tex]=3\sqrt[4]{5}[/tex]
