Square Roots and Cube Roots

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3*3=9.
The symbol for the square root is √.
Every positive number has two square roots, one positive and one negative. For example, the square roots of 9 are 3 and -3 because (33=9) and (-3-3=9)
A square root that is a whole number is called a perfect square. Examples of perfect squares include 1, 4, 9, 16, 25, etc.
A square root that is not a whole number is irrational, and it can’t be exactly represented as a fraction or decimal. These square roots are usually rounded to a certain number of decimal places.
The cube root of a number is a value that, when multiplied by itself twice, gives the original number. For example, the cube root of 27 is 3, because 333=27.
The symbol for the cube root is ∛.
Every real number has only one real cube root. For example, the cube root of -27 is -3, because -3-3-3=-27.
A cube root that is a whole number is called a perfect cube. Examples of perfect cubes include 1, 8, 27, 64, 125, etc.
Learning to manually calculate square roots and cube roots can be useful, but for complex calculations, using a calculator can more accurately and quickly provide answers.
Understanding square roots and cube roots can be helpful when dealing with quadratic or cubic equations or in understanding Pythagorean theorem in geometry.

Practice and well-conceptualised examples are key to understanding and becoming more familiar with the concepts of square roots and cube roots. Remember to revise regularly for better retention of the concept.