Are square root numbers rational

Answer 1

In general, not usually.

The square root of an irrational number is always irrational.

The square root of a rational number is usually irrational, but not always. You can tell by this test:

If both the numerator and denominator of the number expressed as a simplified fraction are perfect square numbers (a number whose square root is a whole number), then the square root of the whole fraction will be rational.

Example: Sqrt(4) =2 (the positive one). Sqrt(1) = 1. Both are perfect squares.

So sqrt(1/4) = sqrt(1)/sqrt(4) = 1/2. Another one: sqrt(4/9) = 2/3.