Find the square.
Please tell step by step procedure..
Answers
Answer:
7.863841
Step-by-step explanation:
Step 1:
Divide the number (61.84) by 2 to get the first guess for the square root .
First guess = 61.84/2 = 30.92.
Step 2:
Divide 61.84 by the previous result. d = 61.84/30.92 = 2.
Average this value (d) with that of step 1: (2 + 30.92)/2 = 16.46 (new guess).
Error = new guess - previous value = 30.92 - 16.46 = 14.46.
14.46 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
Divide 61.84 by the previous result. d = 61.84/16.46 = 3.7569866343.
Average this value (d) with that of step 2: (3.7569866343 + 16.46)/2 = 10.1084933172 (new guess).
Error = new guess - previous value = 16.46 - 10.1084933172 = 6.3515066828.
6.3515066828 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 61.84 by the previous result. d = 61.84/10.1084933172 = 6.1176278264.
Average this value (d) with that of step 3: (6.1176278264 + 10.1084933172)/2 = 8.1130605718 (new guess).
Error = new guess - previous value = 10.1084933172 - 8.1130605718 = 1.9954327454.
1.9954327454 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
Divide 61.84 by the previous result. d = 61.84/8.1130605718 = 7.6222776168.
Average this value (d) with that of step 4: (7.6222776168 + 8.1130605718)/2 = 7.8676690943 (new guess).
Error = new guess - previous value = 8.1130605718 - 7.8676690943 = 0.2453914775.
0.2453914775 > 0.001. As error > accuracy, we repeat this step again.
Step 6:
Divide 61.84 by the previous result. d = 61.84/7.8676690943 = 7.8600153691.
Average this value (d) with that of step 5: (7.8600153691 + 7.8676690943)/2 = 7.8638422317 (new guess).
Error = new guess - previous value = 7.8676690943 - 7.8638422317 = 0.0038268626.
0.0038268626 > 0.001. As error > accuracy, we repeat this step again.
Step 7:
Divide 61.84 by the previous result. d = 61.84/7.8638422317 = 7.8638403694.
Average this value (d) with that of step 6: (7.8638403694 + 7.8638422317)/2 = 7.8638413006 (new guess).