From our perfect squares lesson we learned that when we square a whole number, or multiply it by itself, our product is a perfect square. If we take the square root of a perfect square we would get the original factor as the answer. Example:
Whole numbers that are not perfect squares still have square roots. However, their square roots are not whole numbers, they are decimals or fractional parts of whole numbers. For the purpose of this lesson we will simply tell which two consecutive whole numbers the square root of a whole number is between.
0,1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225 Since 153 is between 144 and 169 in our perfect squares list, the square root of 153 is between 12 and 13 (12 and 13 are the square roots of 144 and 169).
Example 2: Between what two consecutive whole numbers is the square root of 17?
Remember: Use your perfect square list to find the square roots of all numbers!
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