3.1.2 Squares, Square Roots, Cube and Cube Roots
(C) Square Roots
1. The square root of a positive number is a number multiplied by itself whose product is equal to the given number.
1. The cube of a number is obtained when that number is multiplied by itself twice.
The cube of 3 is written as
33 = 3 × 3 × 3
2. The cube of a negative number is negative.
(–2)3 = (–2) × (–2) × (–2)
3. The cube of zero is zero. The cube of one is one, 13 = 1.
(E) Cube Roots
1. The cube root of a number is a number which, when multiplied by itself twice, produces the particular number. is the symbol for cube root.
is read as ‘cube root of sixty-four’.
2. The cube root of a positive number is positive.
3. The cube root of a negative number is negative.
4. To determine the cube roots of fractions, the fractions should be simplified to numerators and denominators that are cubes of integers.