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SQUARES & SQUARE ROOTS

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Squares: “Squaring” a number means to raise a number to the second power. Example: 4² = 4 · 4 = 16 9² = 9 · 9 = 81 16² = 16 · 16 = 256 Squares

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Square Roots The Square Root of a number is the number you can multiply by itself to give you that number. Thus, = 2, because 2 2 =4 = 3, because 3 2 =9 Try: = 8, because 8 2 =64 = 12, because 12 2 =144 = 1, because 1 2 = 1 = 0, because 0 2 = 0

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A Perfect Square: is “perfect” because its square root is a whole number. Example: is a perfect square because = 7 Perfect Squares 49

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Non-Perfect Squares A Non-Perfect Square: is a number whose square root is NOT a whole number. Example: is NOT a perfect square because = 6.3245… 40

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Approximating Square Roots You need to estimate its value of non- perfect squares by determining which two whole numbers it falls in between. Example: 11 is a non-perfect square 11 falls between perfect squares 9 & 16 Therefore, is between and Since, = 3 and = 4 Then is between 3 and 4

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√55 √23 √5 √14 √44 Find the two consecutive numbers the following non-perfect square fall between. SHOW WORK! and Between 7 & 8 Between 4 & 5 Between 2 & 3 Between 3 & 4 Between 6 & 7

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Answer the following problem SHOW WORK! 1.I am a number. I am not zero. If I am squared, I’m still the same number. What number am I? 1

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Answer the following problem SHOW WORK! 2.If a square bedroom has an area of 144 square feet, what is the length of one wall? 12 feet

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Answer the following problem SHOW WORK! 3.An artist is making two stained- glass windows. One window has a perimeter of 48 inches. The other window has an area of 110 inches. Which window is bigger? The window with a perimeter of 48 inches.

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Answer the following problem SHOW WORK! 4.A square garden has an area of 225 square feet. How much fencing will a gardener need to buy in order to place fencing around the garden? 60 feet

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