Math, asked by Aarshi123, 1 year ago

Plz give the ans for the circled one only

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Answers

Answered by monidhana
0
I think the answer is 65.75,35.3,0.875
Answered by SuadMalik
0
hey plz mark a brain list

Step 1: 
 Divide the number (789) by 2 to get the first guess for the square root.
 First guess = 789/2 = 394.5.
Step 2:
 Divide 789 by the previous result. d = 789/394.5 = 2.
 Average this value (d) with that of step 1: (2 + 394.5)/2 = 198.25 (new guess).
 Error = new guess - previous value = 394.5 - 198.25 = 196.25.

 196.25 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
 Divide 789 by the previous result. d = 789/198.25 = 3.9798234552.
 Average this value (d) with that of step 2: (3.9798234552 + 198.25)/2 = 101.1149117276 (new guess).
 Error = new guess - previous value = 198.25 - 101.1149117276 = 97.1350882724.
 97.1350882724 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
 Divide 789 by the previous result. d = 789/101.1149117276 = 7.8030034.
 Average this value (d) with that of step 3: (7.8030034 + 101.1149117276)/2 = 54.4589575638 (new guess).
 Error = new guess - previous value = 101.1149117276 - 54.4589575638 = 46.6559541638.
 46.6559541638 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
 Divide 789 by the previous result. d = 789/54.4589575638 = 14.4879747115.
 Average this value (d) with that of step 4: (14.4879747115 + 54.4589575638)/2 = 34.4734661377 (new guess).
 Error = new guess - previous value = 54.4589575638 - 34.4734661377 = 19.9854914261.
 19.9854914261 > 0.001. As error > accuracy, we repeat this step again.
Step 6:
 Divide 789 by the previous result. d = 789/34.4734661377 = 22.8871676799.
 Average this value (d) with that of step 5: (22.8871676799 + 34.4734661377)/2 = 28.6803169088 (new guess).
 Error = new guess - previous value = 34.4734661377 - 28.6803169088 = 5.7931492289.
 5.7931492289 > 0.001. As error > accuracy, we repeat this step again.
Step 7:
 Divide 789 by the previous result. d = 789/28.6803169088 = 27.5101562688.
 Average this value (d) with that of step 6: (27.5101562688 + 28.6803169088)/2 = 28.0952365888 (new guess).
 Error = new guess - previous value = 28.6803169088 - 28.0952365888 = 0.58508032.
 0.58508032 > 0.001. As error > accuracy, we repeat this step again.
Step 8:
 Divide 789 by the previous result. d = 789/28.0952365888 = 28.0830523532.
 Average this value (d) with that of step 7: (28.0830523532 + 28.0952365888)/2 = 28.089144471 (new guess).
 Error = new guess - previous value = 28.0952365888 - 28.089144471 = 0.0060921178.
 0.0060921178 > 0.001. As error > accuracy, we repeat this step again.
Step 9:
 Divide 789 by the previous result. d = 789/28.089144471 = 28.0891431498.
 Average this value (d) with that of step 8: (28.0891431498 + 28.089144471)/2 = 28.0891438104 (new guess).
 Error = new guess - previous value = 28.089144471 - 28.0891438104 = 6.606e-7.
 6.606e-7 <= 0.001. As error <= accuracy, we stop the iterations and use 28.0891438104 as the square root.
So, we can say that the square root of 789 is 28.089143 with an error smaller than 0.001 (in fact the error is 6.606e-7). this means that the first 6 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(789)' is 28.089143810376278.



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iii)don't knowiv)sorry don't knowplz mark as brain list


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