# 10.2.1 Calculator Exploration: Square Roots

In this exploration, you will learn to use the calculator to find square roots.

The calculator can be accessed on the left-hand side bar under Toolkit.

To use the calculator to find square roots, use the key.

Try using your calculator to find .

Enter

Note that when you press the square root key, the calculator opens parentheses; you must remember to close them when you have completed the number whose square root you are finding.

Before you click the Equals key (but after you have closed the parentheses), you should see this:

Here is the completed calculation:

## Activity: Some Square Root Investigations

(a) Use the calculator to work out , , and .

Does ?

### Comment

When you enter , don’t close the parentheses until you have entered the whole expression under the square root sign, that is, all of .

(a) and , so .

However, (to 2 decimal places).

Therefore, is not equal to .

So it is important to note that the square root of a sum is not the same as the sum of the individual roots.

(b) Use the calculator to work out , , and .

Does ?

(b) and , so .

Then, .

Therefore, .

The square root of a product is the same as the product of the individual roots.

10.2.2 Repeating Square Roots