# 10.2.2 Repeating Square Roots

## Activity: Repeating Square Roots

Work out . Now, click on to find . Keep repeating this so that you are finding and , and so on. What do you notice happening?

### Comment

Each calculation needs just . Watch the windows at the top of the calculator to see what is happening.

If you keep taking square roots of the answer, the number gets closer and closer to 1. Try starting with a different number, like 37. Does the same happen? What about a number between 0 and 1, such as 0.5?

## Activity: Square Roots of Negative Numbers

What do you think the square root of 16 is? It can’t be 4, because , not 16. Use the calculator to find the answer.

### Comment

Enter the square root, then 16 using the ± button.