| The square root of a given number is the positive
number whose square produces the given number.
Example 3
Solution:
Note:
Example 4
Solution:
The square root of a negative number is not a real number.
In general:
I.e. The square root of a negative number is not a real
number.
In general:
Using a Graphics Calculator
The following two examples make use of the TI-83 Graphing Calculator.
Example 5
Solution:
Set the MODE to
2 decimal places and press QUIT to
return to the Home Screen. Then type:
and press ENTER to obtain the value to 2
decimal places.
The display on the screen shows that:
Example 6
Solution:
Set the MODE to
4 decimal places and press QUIT to
return to the Home Screen. Then type:
and press ENTER to obtain the value to 4 decimal places. The display on the screen shows that:
Properties of Square Roots
Consider the square roots of numbers greater than 1.
In general:
Consider the square roots of numbers between 0 and 1.
In general:
Key Terms
square root, properties of
square roots |
