Question

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

Answer 1

`3\sqrt[4]{5}`

Explanation:

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

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

`\sqrt[4]{(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}`