divide the method of 5776
Answers
Answer:
plzz write full question as 5776 we hv to divide by ????? and through which method ...plzzz write properly
plzz followe ......
Answer:
The square root of 5776 is 76. Or,
√5776 = 76
Step-by-step explanation:
Step 1:
Divide the number (5776) by 2 to get the first guess for the square root .
First guess = 5776/2 = 2888.
Step 2:
Divide 5776 by the previous result. d = 5776/2888 = 2.
Average this value (d) with that of step 1: (2 + 2888)/2 = 1445 (new guess).
Error = new guess - previous value = 2888 - 1445 = 1443.
1443 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
Divide 5776 by the previous result. d = 5776/1445 = 3.9972318339.
Average this value (d) with that of step 2: (3.9972318339 + 1445)/2 = 724.498615917 (new guess).
Error = new guess - previous value = 1445 - 724.498615917 = 720.501384083.
720.501384083 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 5776 by the previous result. d = 5776/724.498615917 = 7.9724099855.
Average this value (d) with that of step 3: (7.9724099855 + 724.498615917)/2 = 366.2355129513 (new guess).
Error = new guess - previous value = 724.498615917 - 366.2355129513 = 358.2631029657.
358.2631029657 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
Divide 5776 by the previous result. d = 5776/366.2355129513 = 15.7712722981.
Average this value (d) with that of step 4: (15.7712722981 + 366.2355129513)/2 = 191.0033926247 (new guess).
Error = new guess - previous value = 366.2355129513 - 191.0033926247 = 175.2321203266.
175.2321203266 > 0.001. As error > accuracy, we repeat this step again.
Step 6:
Divide 5776 by the previous result. d = 5776/191.0033926247 = 30.240300555.
Average this value (d) with that of step 5: (30.240300555 + 191.0033926247)/2 = 110.6218465899 (new guess).
Error = new guess - previous value = 191.0033926247 - 110.6218465899 = 80.3815460348.
80.3815460348 > 0.001. As error > accuracy, we repeat this step again.
Step 7:
Divide 5776 by the previous result. d = 5776/110.6218465899 = 52.2139177572.
Average this value (d) with that of step 6: (52.2139177572 + 110.6218465899)/2 = 81.4178821736 (new guess).
Error = new guess - previous value = 110.6218465899 - 81.4178821736 = 29.2039644163.
29.2039644163 > 0.001. As error > accuracy, we repeat this step again.
Step 8:
Divide 5776 by the previous result. d = 5776/81.4178821736 = 70.9426460846.
Average this value (d) with that of step 7: (70.9426460846 + 81.4178821736)/2 = 76.1802641291 (new guess).
Error = new guess - previous value = 81.4178821736 - 76.1802641291 = 5.2376180445.
5.2376180445 > 0.001. As error > accuracy, we repeat this step again.
Step 9:
Divide 5776 by the previous result. d = 5776/76.1802641291 = 75.820162427.
Average this value (d) with that of step 8: (75.820162427 + 76.1802641291)/2 = 76.0002132781 (new guess).
Error = new guess - previous value = 76.1802641291 - 76.0002132781 = 0.180050851.
0.180050851 > 0.001. As error > accuracy, we repeat this step again.
Step 10:
Divide 5776 by the previous result. d = 5776/76.0002132781 = 75.9997867225.
Average this value (d) with that of step 9: (75.9997867225 + 76.0002132781)/2 = 76.0000000003 (new guess).
Error = new guess - previous value = 76.0002132781 - 76.0000000003 = 0.0002132778.
0.0002132778 <= 0.001. As error <= accuracy, we stop the iterations and use 76.0000000003 as the square root.
So, we can say that the square root of 5776 is 76 with an error smaller than 0.001 (in fact the error is 0.0002132778). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5776)' is 76.
Note: There are other ways to calculate square roots. This is only one of them.
GUYS ITS BIG ANS..BUT URLL CAN WRITE THIS SAME ANS IN YOUR WAY..THIS WAS MY WAY TO JUST EXPLAIN U ALL..HOPE IT HELPS U AND PLZ DON'T GET FRUSTRATED BY THIS ANSWER