Transcription of Squares and Square Roots
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Squares and Square Roots
Squares AND Square Roots IntroductionYou know that the area of a Square = side side (where side means the length ofa side ). Study the following of a Square (in cm)Area of the Square (in cm2)11 1 = 1 = 1222 2 = 4 = 2233 3 = 9 = 3255 5 = 25 = 5288 8 = 64 = 82aa a = a2 What is special about the numbers 4, 9, 25, 64 and other such numbers?Since, 4 can be expressed as 2 2 = 22, 9 can be expressed as 3 3 = 32, all suchnumbers can be expressed as the product of the number with numbers like 1, 4, 9, 16, 25, .. are known as Square general, if a natural number m can be expressed as n2, where n is also a naturalnumber, then m is a Square number.
not a perfect square. So we can also say that if a natural number cannot be expr essed as a sum of successive odd natural numbers starting with 1, then it is not a perfect square. We can use this result to find whether a number is a perfect square or not. 4. A sum of consecutive natural numbers Consider the following 32 = 9 = 4 + 5 52 = 25 = 12 ...
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