Question

Which of the following radical expressions cannot be simplified further and why

Answer 1

`^2\sqrt[]{3x}+\sqrt[]{3x}\text{ =2}\sqrt[]{3x}`

Since when a radical doesn't have an index, is a square root, the first one can be simplified.

`3\sqrt[]{5x}-6\sqrt[]{5x\text{ }}=-3\sqrt[]{5x}`

The second option can be simplified.

`^3\sqrt[]{5}+^{}2^3\sqrt[]{5}=3^3\sqrt[]{5}`

The third one can be simplified.

`5^3\sqrt[]{x}+\sqrt[]{x}`

The last option cannot be simplified further.