Year 9 Interactive Maths - Second Edition

Square Roots

Example 3

Solution:

Note:

Example 4

Solution:

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