Transcription of Squares and Square Roots - NCERT
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Squares and Square Roots - NCERT
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 . Is 32 a Square number ?We know that 52 = 25 and 62 = 36. If 32 is a Square number , it must be the Square ofa natural number between 5 and 6.
Find the perfect square numbers between (i) 30 and 40 (ii) 50 and 60 6.2 Properties of Square Numbers Following table shows the squares of numbers from 1 to 20. Number Square Number Square ... Product of two consecutive even or odd natural numbers 11 …
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