1. Algebra Foundations Perfect Square Mrs. Triechler

2. Simplify 1. 5 2 2. 8 2 3. 12 2 4. 15 2 5. 20 2 2564 144 225 400

3. By definition  25 (radical 25) is the number you would multiply times itself (5x5) to get 25 for an answer. Because we are familiar with multiplication, we know that  25 (square root of 25)= 5 Numbers like 25, which have whole numbers for their square roots, are called perfect squares You need to memorize your list of perfect squares (green sheet)

4. Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81  81 = 9 100  100 = 10 121  121 = 11 144  144 = 12 169  169 = 13 196  196 = 14 225  225 = 15 Perfect square Square root

5. Every whole number has a square root Most numbers are not perfect squares, and so their square roots are not whole numbers. Most numbers that are not perfect squares have square roots that are irrational numbers Irrational numbers can be represented by decimals that do not terminate and do not repeat The decimal approximations of whole numbers can be determined using a calculator

6. Obj: To find the square root of a number Find the square roots of the given numbers If the number is not a perfect square, use a calculator to find the answer correct to the nearest thousandth. 81 37 158  81 = 9  37  6.083  158  12.570 36  36 = 6

7. Obj: To find the square root of a number Find two consecutive whole numbers that the given square root is between Try to do this without using the table  18  115  18 is between 4 and 5  115 is between 10 and 11  16 = 4 and  25 = 5 so  100 = 10 and  121 = 11 so

8. Identify which number is a perfect square. 44  39  225  100  4  166