Question

square root of 784 by repeated subtraction​

Answer 1

Step-by-step explanation:

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.

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