Question

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

Answer 1

Answer:

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

Step-by-step 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

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

Answer 2

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