ChApTeR 2....
2.1 Squares of Numbers
The square of a number is the product of a number multiplied by itself.
Example:
The square of 10 is 10 x 10 = 100
The square of 0.5 is 0.5 x 0.5 = 0.25
The square of 1/4 is 1/4 x 1/4 = 1/16
The square of a number can be written using the square notation.
Example:
6 x 6 can be written as 6².
0.3 x 0.3 can be written as 0.3².
(-8) x (-8) can be written as (-8)².
*Remember: The square of any numbers always is positive!
such as (-2)² = -2 x -2 = 4; still remember, (-) x (-) = (+)
2.2 Square Roots
1. The symbol for square root is √¯¯.
Example 1:
What is the square root of 36?
Solution:
The square root of 36 can be written as √36. (We know 36 is the product of 6 x 6)
So, the answer for this question is 6!
Example 2:
What is the square root of 9/16?
We can write this as √(9/16). (We know that 9/16 is also equal to (3x3/4x4).
So the answer for this question is 3/4!
* Remember: Square root of any numbers must be positive. If negative, that answer is
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2.3 Cubes Of Numbers
The cube of a number is the product of the number multiplied by itself twice.
The cube of a number can be written using the cube symbol or notation ³.
Example 1:
The cube of 3 can be written as 3³ = 3 x 3 x 3.
The cube of -2 can be written as (-2) ³ = (-2) x (-2) x (-2).
The cube of 1/5 can be written as (1/5)³ = (1/5) x (1/5) x (1/5).
Example 2:
Calculate the value of the cube of four.
4³ = 4 x 4 x 4 = 64
Calculate the value for 0.5³
0.5³ = 0.5 x 0.5 x 0.5 = 0.125
2.4 Cube Roots
The cube root of a number is a number which, when multiplied itself twice. It can be written as the symbol as ³√¯¯.
Example 1:
The cube root for 125 is 5 because 125 = 5 x 5 x 5
The cube root of -8 is -2 because -8 = (-2) x (-2) x (-2)
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