Question

find whether 55 is perfect square or not by the method of repeated subtraction​​

Answer 1

No, 55 is not a perfect square

Step-by-step explanation:

55 - 1 = 54

54 - 3 = 51

51 - 5 = 46

46 - 7 = 39

39 - 9 = 30

30 - 11 = 29

29 - 13 = 16

16 - 15 = 1

Answer 2

Answer:

$\large{\color{magenta}{\fbox{\textsf{\textbf{Solution :-}}}}}$

☆In order to check Whether 55 is a perfect Square Or not, we successively subtract 1, 2, 3, 4, 5,..,from it.

We have,

$\: \: \: \: 55 - 1 = 54$

$\: \: \: \: 54 - 3 = 51$

$\: \: \: \: 51 - 5 = 46$

$\: \: \: \: 46 - 7 = 39$

$\: \: \: \: 39 - 9 = 30$

$\: \: \: \: 30 - 11 = 19$

$\: \: \: \: 19 - 13 = 6$

$\: \: \: \: 6 - 13 = - 7$

This shows that 55 cannot be expressed as the sum of consecutive odd number starting with 1.

Hence, it is not a perfect Square.

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