SQUARE ROOTS, PERFECT AND NOT PERFECT

First, some square roots humor:

  SQUARE ROOTS:
Squares & Square Roots Explained *great explanation, click on the link and check it out!


EXPONENTS, ROOTS, SQUARE ROOTS AND PERFECT SQUARES
(please note: we are concerned only with square roots at this point in time!)




PERFECT SQUARES SONG:

PERFECT SQUARES ON A MULTIPLICATION CHART





















NOT PERFECT SQUARES: ESTIMATING ANSWERS

Example: the square root of 12 is likely somewhere between 3 and 4, because if you look at the multiplication chart, the nearest perfect squares are 9 and 16. And their square roots are 3 and 4. So the square root of 12 will be somewhere between that.

Checking it with a calculator: the answer is 3.464101615137754
So our estimation was correct!



AT HOME PRACTICE:
TRY THIS AT HOME!

1. Using an example, define a perfect square.
2. Using an example, explain the relationship between exponents and square roots. 
3. Chose any number. 
1. If you were to find the square root of that number, would it be a perfect square or not? 
2. If it is not, using your knowledge of perfect squares, guess-ti-mate what the answer might be. 
3. Check the answer with a calculator.
4. Write the answer to the nearest hundredth.
5. Repeat!
6.