Answer:
The given statement is a FALSE statement.
Explanation:
The ancient Greek mathematicians believed that any construction could be done by straightedge and a compass but when they actually tried to construct they observed that some polygons were constructed but most of them were not.
Later on , In algebra it was observed that:
- A length is constructible if and only if it is a constructible number.
- An angle could be constructible if it's cosine is a constructible number.
- A number is constructible if it contain four basic arithmetic operation.