Heyo kiddo! How are you today?
Let's work this out!
So as jmtorres3423 said in the comments section, there are different ways to simplify that are equivalent either way. I'll just simplify in a different way from his example given.
[tex] \frac{4 \sqrt{400} }{4 \sqrt{5} } = ( \frac{400}{5}) ^ \frac{1}{4} = (80)^ \frac{1}{4} = \sqrt[4]{80} = \sqrt[4]{16(5)} = \sqrt[4]{16} \sqrt[4]{5} = 2 \sqrt[4]{5}
_________
Or....
[/tex]
[tex] \frac{ \sqrt[4]{400} }{ \sqrt[4]{5} } = \sqrt[4]{ \frac{400}{5} } = \sqrt[4]{80} = \sqrt[4]{16(5)} = \sqrt[4]{2^4(5)} = 2 \sqrt[4]{5}
[/tex]
They both have the same solution, I just did it a little differently. It's easy once you understand.
You're welcome.
