Question

Determine whether the following regular tetrahedrons have an edge length that is a whole number, a rational number or irrational number.

The surface are of a tetrahedron is given by the equation: SA = √ 3s^2

Surface are of regular tetrahedron A = 1.5
Surface are of regular tetrahedron B = 4√3
Surface are of regular tetrahedron C = √3/100



Why square root is so confuse.please help me.
Thank you..

Answer 1

√3 s^2 = 3/2
s^2 = √3/2
clearly, s is not rational

√3s^2 = 4√3
s^2 = 4
s = 2, a whole number.

Now you try the other.