sqaure root of 1.42 by division method
Answers
Answer:
Step 1:
Divide the number (1.42) by 2 to get the first guess for the square root .
First guess = 1.42/2 = 0.71.
Step 2:
Divide 1.42 by the previous result. d = 1.42/0.71 = 2.
Average this value (d) with that of step 1: (2 + 0.71)/2 = 1.355 (new guess).
Error = new guess - previous value = 0.71 - 1.355 = 0.645.
0.645 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
Divide 1.42 by the previous result. d = 1.42/1.355 = 1.0479704797.
Average this value (d) with that of step 2: (1.0479704797 + 1.355)/2 = 1.2014852399 (new guess).
Error = new guess - previous value = 1.355 - 1.2014852399 = 0.1535147601.
0.1535147601 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 1.42 by the previous result. d = 1.42/1.2014852399 = 1.1818705323.
Average this value (d) with that of step 3: (1.1818705323 + 1.2014852399)/2 = 1.1916778861 (new guess).
Error = new guess - previous value = 1.2014852399 - 1.1916778861 = 0.0098073538.
0.0098073538 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
Divide 1.42 by the previous result. d = 1.42/1.1916778861 = 1.1915971728.
Average this value (d) with that of step 4: (1.1915971728 + 1.1916778861)/2 = 1.1916375294 (new guess).
Error = new guess - previous value = 1.1916778861 - 1.1916375294 = 0.0000403567.
0.0000403567 <= 0.001. As error <= accuracy, we stop the iterations and use 1.1916375294 as the square root.
Answer:
3√1.42=569 I think so maybe