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By repeated subtraction of odd numbers starting from 1,find whether the following numbers are perfect squares or not? If the number is a perfect square then find its square root.(iv) 49

By repeated subtraction of odd numbers starting from 1, find whether the following numbers are perfect squares or not? If the number is a perfect square then find its square root.

(iv) 49

Answers (1)
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We have \sqrt{49} . Then

49 - 1 =  48

48 - 3 = 45

45 - 5 = 40

40 - 7 = 33

33 - 9 = 24

24 - 11 = 13

13 - 13 = 0 .

We get zero on the 7th step so \sqrt{49} = 7

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