Question

What is the simplest form of the quotient?
^4√810 over ^4√2

Answer 1

step one is to divide by 2 and get
\[\sqrt[4]{405}\]

Answer 2

ok i did that now...

Answer 3

factor 405
may not be obvious, but by some miracle \(405=3^4\times 5\)

Answer 4

this means
\[\sqrt[4]{405}=\sqrt[4]{3^3}\sqrt[4]{5}=3\sqrt[4]{5}\]

Answer 5

ok so then my answer is \[3 ^4\sqrt{5}\]