Question

What is the simplest form of the quotient 4 square root 810 over 4 square root 2

Answer 1

Answer:

$3\sqrt[4]{5}$

Step-by-step explanation:

Given: $\frac{\sqrt[4]{810} }{\sqrt[4]{2} }$

Top and bottom has fourth root. so we take fourth root in common

$\sqrt[4]{\frac{810}{2} }$

When we divide 810 by 2. we will get 405

$\sqrt[4]{405}$

Now we simplify the fourth root

405 can be written as 3*3*3*3*5

$\sqrt[4]{3*3*3*3*5}$

$3\sqrt[4]{5}$