2. The square of a number is the number multiplied by itself. The square of a number can be written as
the number to the power of two.
Example:
The square of 5 is 52 = 25
A perfect square is a non-zero whole number that is produced by multiplying a whole number by
itself.
Example:
The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, …

3. The square root of a positive number is the number when multiplied by itself, produce the given
number. The notation for square root is ‘ ’ .
Example: 25 = 5
The square root of a fraction can be found by finding the square root of the numerator and
denominator separately. For a mixed number, it should first be changed to an improper fraction.
The product of two square roots is the square root of the product of the numbers.
Example:
5 × 3 = 15

4. The square root of a fraction can be found by finding the square root of the numerator and
denominator separately. For a mixed number, it should first be changed to an improper fraction.
Example:
7 25
2 =
9 9
25
=
9
5
=
3
2
= 1
3

5. The cube of a number is the number multiplied by itself twice. It is the number to the power of three.
Example:
The cube of 4 is 43 = 64
The cube root of a given number is the number when multiplied by itself twice, produce the given
number.
3 3
Example: 64 = 4 × 4 × 4 = 4

6. The cube root of a fraction can be found by finding the cube root of the numerator and denominator
separately. For a mixed number, it should first be changed to an improper fraction.
Example:
3 3 3 27
−3 = −
8 8
3
−27
= 3
8
3
= −
2
1
=−1
2