To represent the solutions to the equation x^2 = p, where p is a positive rational number, we can use the square root symbol (√). For example, if p = 4, then x^2 = 4 has two solutions: x = √4 = 2 and x = -√4 = -2.

To represent the solutions to the equation x^3 = p, where p is a positive rational number, we can use the cube root symbol (∛). For example, if p = 8, then x^3 = 8 has one solution: x = ∛8 = 2.

When evaluating square roots of small perfect squares, we can find the square root of the perfect square. For example, √4 = 2, √9 = 3, √16 = 4, etc.

However, it is important to note that √2 is irrational, meaning it cannot be expressed as a fraction or a terminating or repeating decimal. Therefore, the square root of 2 cannot be simplified to a rational number.