Notes and Skills Practice Square Roots Notes and Skills Practice

Square Chart On your graph paper, create a horizontal table with 2 rows and 26 columns Label the rows “side” and “area” Then trace one box just under the left-hand side of the table Fill the side length and area for the square you traced onto the chart

Square Chart Draw a new square around the first one that has a side length of 2 units Fill this square’s side length and area onto the chart Continue this process, adding one unit each time and drawing a square until you have filled out your whole table

What is a square root? A square root is the inverse of squaring a number (or taking it to the second power) It is related to the area of squares

Area of Squares A square is special rectangle in which all sides are equal A = b · h but because base and height are equal A of square = s · s or A = s²

Finding the Side of a Square A square root is like being given the area of a square and finding the side length A square with an area of 36 would have a side length of 6 A square with an area of 81 would have a side length of 9

Square Roots and Area The square root symbol is # 25 means “if the area of a square is 25, what is the side length?” 25 =5

Notes – Calculating Square Roots A square root is the inverse of squaring a number (to the second power) You need to figure out what number times itself will give you the amount underneath the square root symbol

Practice – Calculating Square Roots 3 4 8 13 7 15 10 14 20 0.2 1) 9 2) 16 3) 64 4) 169 5) 49 6) 225 7) 100 8) 196 9) 400 10) 0.04