Question

What is the simplified form of the following expression first one is question the rest are answer choices

Answer 1

The answer is
`13 \sqrt[4]{x} -10 \sqrt[4]{2y}`

Answer 2

`13\sqrt[4]x - 10\sqrt[4]2y`

Explanation:

`2(\sqrt[4]16x) - 2(\sqrt[4]2y) + 3(\sqrt[4]81x) - 4(\sqrt[4]32y)`

In this case, we need to get the Least Common Multiple (LCM) of 16, 81 and 32, that is:

• 
  `16 = 2^4`

• 
  `81 = 3^4`

• 
  `32 = 2^5`

Now, we replace in the original equation, that is:

`2\sqrt[4](2^4x) - 2\sqrt[4](2y) + 3\sqrt[4](3^4x) - 4\sqrt[4](2^5y)`

Simplifying

`4\sqrt[4]x + 9\sqrt[4]x - 2\sqrt[4]2y - 8\sqrt[4]2y`

Finally, we have

`13\sqrt[4]x - 10\sqrt[4]2y`