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The three classical problems of Euclidean construction are:

1. Doubling the Cube: This problem involves constructing a cube with a volume that is double the volume of a given cube, using only a compass and an unmarked straightedge. In other words, the problem is to find a cube whose side length is the cube root of 2 times the side length of the given cube.

2. Squaring the Circle: This problem is about constructing a square with an area equal to the area of a given circle, again using only a compass and an unmarked straightedge. In other words, the task is to find a square with the same area as a given circle with a certain radius.

3. Trisecting the Angle: This problem involves dividing a given angle into three equal parts, using only a compass and an unmarked straightedge. In other words, it's about constructing two angles that are one-third the size of the given angle.

Out of these three classical problems, the one that cannot be solved is "Squaring the Circle." This is known as a "trisectrix" problem and is related to the famous mathematical constant $\pi$ (pi). In the 19th century, it was proven that it was impossible to construct a square with an area exactly equal to the area of a given circle using only Euclidean tools. This impossibility was demonstrated through the proof of the transcendence of $\pi$, which means that π is not a constructible number.