Question

find the square root of 2565 with the process

Answer 1

Divide the number (2565) by 2 to get the first guess for the square root .
 First guess = 2565/2 = 1282.5.Step 2:
 Divide 2565 by the previous result. d = 2565/1282.5 = 2.
 Average this value (d) with that of step 1: (2 + 1282.5)/2 = 642.25 (new guess).
 Error = new guess - previous value = 1282.5 - 642.25 = 640.25.
 640.25 > 0.001. As error > accuracy, we repeat this step again.Step 3:
 Divide 2565 by the previous result. d = 2565/642.25 = 3.9937718957.
 Average this value (d) with that of step 2: (3.9937718957 + 642.25)/2 = 323.1218859479(new guess).
 Error = new guess - previous value = 642.25 - 323.1218859479 = 319.1281140521.
 319.1281140521
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