the square root of 784 by repeated
Answers
Given square root of 784 by repeated subtraction
We know that square number is the sum of successive odd numbers. Therefore we need to find square root of a number by repeatedly subtracting successive odd numbers from 1 until 0 is obtained.
Now 784 is the number.
So 784 – 1 = 783
783 – 3 = 780
780 – 5 = 775
775 – 7 = 768
768 – 9 = 759
759 – 11 = 748
748 – 13 = 735
735 – 15 = 720
720 – 17 = 703
703 – 19 = 684
684 – 21 = 663
663 – 23 = 640
640 – 25 = 615
615 – 27 = 588
588 – 29 = 559
..
208 – 49 = 159
159 – 51 = 108
108 – 53 = 55
55 – 55 = 0
So the 28 th term is o and square root of 784 will be 28.
Answer:
it will be 28
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