SECTION 7 1 SQUARE AND SQUARE ROOTS Copyright

Perfect Squares: A number that is equal to the ‘square’ of another number

EX: GIVEN THE FOLLOWING INTEGERS, INDICATE WHICH OF THE FOLLOWING IS A PERFECT SQUARE:

II) SQUARE ROOTS The “Square Root” of a number is the opposite of “squaring”

III) WHAT ARE FACTORS? An integer which evenly divides a number without leaving a

IV) PRIME FACTORIZATION A “decomposition” [break down] of a number where all its factors

PRACTICE: FIND THE PRIME FACTORIZATION OF EACH NUMBER: © Copyright all rights reserved to

PRIME FACTORIZATION OF PERFECT SQUARES: Find the prime factorization of each of the following

FIND THE SQUARE ROOT OF 900 Method 1: Method 2: So therefore:

Practice: Indicate whether if the following is a perfect square. If yes, then square

THE AREA OF A SQUARE TABLE IS 256 2 M. a) Find the length

HOMEWORK: http: //bcmath. ca/Worksheets/Math%208/HW%207. 1%20 Squares%20 and%20 Square%20 Roots. pdf © Copyright all rights

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Perfect Squares: A number that is equal to the ‘square’ of another number Therefore, “ 9” is a perfect square Ex: Find the perfect squares for each of the following These are all Perfect Squares!! Copyright All Rights Reserved Homework Depot at www. BCMath. ca

II) SQUARE ROOTS The “Square Root” of a number is the opposite of “squaring” it When finding the “square root” of a number, look for a value that multiplies itself to equal it For instance: Because 3 time 3 equals 9 Because 4 time 4 equals 16 Ex: Find the square root of the following: © Copyright all rights reserved to Homework depot: www. BCMath. ca

III) WHAT ARE FACTORS? An integer which evenly divides a number without leaving a remainder ie: What are all the factors of 24? {1 , 2, 3, 4, 6, 8, 12, 24} A number with only two factors are called: “Prime Numbers” Ie: List the first 10 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 © Copyright all rights reserved to Homework depot: www. BCMath. ca

IV) PRIME FACTORIZATION A “decomposition” [break down] of a number where all its factors are prime numbers Divide a number by all of its factors until all the factors are prime numbers Ex: : Find the Prime Factorization of the following numbers © Copyright all rights reserved to Homework depot: www. BCMath. ca

PRIME FACTORIZATION OF PERFECT SQUARES: Find the prime factorization of each of the following perfect squares: What do you notice about the prime factorization of perfect squares? All perfect squares have factors that comes in pairs This is because there needs to be two of every factor to be a perfect square © Copyright all rights reserved to Homework depot: www. BCMath. ca

FIND THE SQUARE ROOT OF 900 Method 1: Method 2: So therefore:

Practice: Indicate whether if the following is a perfect square. If yes, then square root the number

THE AREA OF A SQUARE TABLE IS 256 2 M. a) Find the length of one side of the table. b) Find the perimeter of the table.