Question

The radical that is not a perfect square stays the same.


The radical that is not a perfect square stays the same.


True

False

Answer 1

The statement "The radical that is not a perfect square stays the same" can be interpreted in different contexts, but generally, it implies that when simplifying a radical expression, any part of the radical that is not a perfect square remains unchanged.

For example, if you have \(\sqrt{8}\), you can simplify it as follows:

\[
\sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}
\]

In this case, \(\sqrt{2}\) (the part that is not a perfect square) "stays the same" after simplification.

Thus, under the context of simplifying radicals, the statement could be seen as **True**: the part of the radical that is not a perfect square does indeed remain in the expression after simplification.

So the answer to the statement is **True**.