1.18 square root in 2 places of decimal
Answers
Answered by
2
√1.18=1.08
hope it helps
hope it helps
Answered by
4
The square root of 1.18 is 1.08627804912. Or,
√1.18 = 1.08627804912
here's full method.'
Step 1:
Divide the number (1.18) by 2 to get the first guess for the square root .
First guess = 1.18/2 = 0.59.Step 2:
Divide 1.18 by the previous result. d = 1.18/0.59 = 2.
Average this value (d) with that of step 1: (2 + 0.59)/2 = 1.295 (new guess).
Error = new guess - previous value = 0.59 - 1.295 = 0.705.
0.705 > 0.001. As error > accuracy, we repeat this step again.Step 3:
Divide 1.18 by the previous result. d = 1.18/1.295 = 0.9111969112.
Average this value (d) with that of step 2: (0.9111969112 + 1.295)/2 = 1.1030984556 (new guess).
Error = new guess - previous value = 1.295 - 1.1030984556 = 0.1919015444.
0.1919015444 > 0.001. As error > accuracy, we repeat this step again.Step 4:
Divide 1.18 by the previous result. d = 1.18/1.1030984556 = 1.0697141257.
Average this value (d) with that of step 3: (1.0697141257 + 1.1030984556)/2 = 1.0864062907 (new guess).
Error = new guess - previous value = 1.1030984556 - 1.0864062907 = 0.0166921649.
0.0166921649 > 0.001. As error > accuracy, we repeat this step again.Step 5:
Divide 1.18 by the previous result. d = 1.18/1.0864062907 = 1.0861498227.
Average this value (d) with that of step 4: (1.0861498227 + 1.0864062907)/2 = 1.0862780567 (new guess).
Error = new guess - previous value = 1.0864062907 - 1.0862780567 = 0.000128234.
0.000128234 <= 0.001. As error <= accuracy, we stop the iterations and use 1.0862780567 as the square root.So, we can say that the square root of 1.18 is 1.086 with an error smaller than 0.001 (in fact the error is 0.000128234). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(1.18)' is 1.0862780491200215
√1.18 = 1.08627804912
here's full method.'
Step 1:
Divide the number (1.18) by 2 to get the first guess for the square root .
First guess = 1.18/2 = 0.59.Step 2:
Divide 1.18 by the previous result. d = 1.18/0.59 = 2.
Average this value (d) with that of step 1: (2 + 0.59)/2 = 1.295 (new guess).
Error = new guess - previous value = 0.59 - 1.295 = 0.705.
0.705 > 0.001. As error > accuracy, we repeat this step again.Step 3:
Divide 1.18 by the previous result. d = 1.18/1.295 = 0.9111969112.
Average this value (d) with that of step 2: (0.9111969112 + 1.295)/2 = 1.1030984556 (new guess).
Error = new guess - previous value = 1.295 - 1.1030984556 = 0.1919015444.
0.1919015444 > 0.001. As error > accuracy, we repeat this step again.Step 4:
Divide 1.18 by the previous result. d = 1.18/1.1030984556 = 1.0697141257.
Average this value (d) with that of step 3: (1.0697141257 + 1.1030984556)/2 = 1.0864062907 (new guess).
Error = new guess - previous value = 1.1030984556 - 1.0864062907 = 0.0166921649.
0.0166921649 > 0.001. As error > accuracy, we repeat this step again.Step 5:
Divide 1.18 by the previous result. d = 1.18/1.0864062907 = 1.0861498227.
Average this value (d) with that of step 4: (1.0861498227 + 1.0864062907)/2 = 1.0862780567 (new guess).
Error = new guess - previous value = 1.0864062907 - 1.0862780567 = 0.000128234.
0.000128234 <= 0.001. As error <= accuracy, we stop the iterations and use 1.0862780567 as the square root.So, we can say that the square root of 1.18 is 1.086 with an error smaller than 0.001 (in fact the error is 0.000128234). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(1.18)' is 1.0862780491200215
Similar questions