Question

Explain how you know if a radical expression is in simplest form. 3 sent

Answer 1

A radical expression is in simplest form when the radicand (the number inside the radical) cannot be simplified further. This means that there are no perfect square factors remaining inside the radical, and the index (the number outside the radical) cannot be simplified.

One way to determine if a radical expression is in simplest form is to check if the radicand is a perfect square. If it is not a perfect square, then the radical expression is already in its simplest form. Another way is to simplify any factors that can be taken out from under the radical, and simplify any multiplication or addition inside the radical, if possible.

Overall, a radical expression is considered to be in simplest form when it cannot be simplified any further and does not contain any perfect square factors inside the radical.