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ARTICLE
The Square Root cycle

WE all often come around mathematical problems where we have to find the square roots of numbers. But has anyone noticed a cyclic occurence in their
answers? Well,let us see this cycle:-

1.First let us find the square root of 1 i.e. 1.
2.Now, let us find the square root of 4 i.e. 2.
3.Now subtract 1 from 4,so as to obtain 3.
4.Now add 4 and the next odd number to 3,5 to get 9.
5.WE can see that 3 is the square root of 9.
6.Now add the next odd number to 5,7 to 9 to get 16(which has the square root as 4 )
In this way,a cycle can be observed in these numbers.

Here are some more examples:-

5x5=16+9=25
6x6=25+11=36
7x7=36+13=49
8x8=49+15=64
9x9=64+17=81
10x10=81+19=100
11x11=100+21=121
12x12=121+23=144
13x13=144+25=169
14x14=169+27=196
15x15=196+29=225
16x16=225+31=256
17x17=256+33=289
18x18=289+35=324
19x19=324+37=361
20x20=361+39=400
21x21=400+41=441
22x22=441+43=484
23x23=484+45=529
24x24=529+47=576
25x25=576+49=625

Vedant Pathak


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Dimdima is the Sanskrit word for ‘drumbeat’. In olden days, victory in battle was heralded by the beat of drums or any important news to be conveyed to the people used to be accompanied with drumbeats.

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Bharatiya Vidya Bhavan
K. M Munshi Marg,
Chowpatty, Mumbai - 400 007
email : editor@dimdima.com

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Bharatiya Vidya Bhavan
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Tardeo, Mumbai - 400 034
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Dimdima.com, the Children's Website of Bharatiya Vidya Bhavan launched in 2000 and came out with a Printed version of Dimdima Magazine in 2004. At present the Printed Version have more than 35,000 subscribers from India and Abroad.

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