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Square Roots And Perfect Squares
The document introduces square roots by explaining that the square root of 25 is 5 because 5 x 5 equals 25, and the square root of 49 is 7 because 7 x 7 equals 49. These numbers that have whole number square roots are called perfect squares. The document also includes a table showing the first 15 perfect squares and their corresponding square roots that should be memorized.
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An introductory slide indicating the beginning of the topic on square roots.
Square roots explained with examples; 5 is the square root of 25, and 7 is the square root of 49. Importance of memorizing first 15 perfect squares.
Example of square root with the number 9, where 3 times 3 equals 9.
Example of square root with the number 16, where 4 times 4 equals 16.
A comprehensive list of perfect squares and their square roots from 1 to 15.
Square Roots And Perfect Squares
- 1.
- 2. By definition 25 is the number you would multiply times itself to get 25 for an answer. In other words, what times what would give you a product of 25? Because we are familiar with multiplication, we know that 25 = 5, because 5 x 5 = 25. 5 is the square root of 25. Numbers like 25 and 49, which have whole numbers for their square roots, are called perfect squares. You need to memorize at least the first 15 perfect squares. By definition 49 is the number you would multiply times itself to get 49 for an answer. In other words, what times what would give you a product of 49? Because we are familiar with multiplication, we know that 49 = 7, because 7 x 7 = 49 . 7 is the square root of 49.
- 3. What times itselfis the number in the root symbol? is 3 because 3 times 3 is 9
- 4.
- 5. is 4 because 4 times 4 is 16 .
- 6.
- 7. Perfect square Squareroot 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