find the square root of 6.4 correct to three decimal places
by division method
with full explanation
please tell fast
Answers
Answer:
Step-by-step explanation:
The square root of 6.4 is 2.5298221281347. Or,
√6.4 = 2.5298221281347
Step 1:
Divide the number (6.4) by 2 to get the first guess for the square root .
First guess = 6.4/2 = 3.2.
Step 2:
Divide 6.4 by the previous result. d = 6.4/3.2 = 2.
Average this value (d) with that of step 1: (2 + 3.2)/2 = 2.6 (new guess).
Error = new guess - previous value = 3.2 - 2.6 = 0.6.
0.6 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
Divide 6.4 by the previous result. d = 6.4/2.6 = 2.4615384615.
Average this value (d) with that of step 2: (2.4615384615 + 2.6)/2 = 2.5307692308 (new guess).
Error = new guess - previous value = 2.6 - 2.5307692308 = 0.0692307692.
0.0692307692 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 6.4 by the previous result. d = 6.4/2.5307692308 = 2.5288753799.
Average this value (d) with that of step 3: (2.5288753799 + 2.5307692308)/2 = 2.5298223053 (new guess).
Error = new guess - previous value = 2.5307692308 - 2.5298223053 = 0.0009469255.
0.0009469255 <= 0.001. As error <= accuracy, we stop the iterations and use 2.5298223053 as the square root.
So,
we can say that the square root of 6.4 is 2.529 with an error smaller than 0.001 (in fact the error is 0.0009469255). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(6.4)' is 2.5298221281347035.
HOPE IT HELPS YOU FRIEND...☺❤
》》Ⱥʀɲɑѵ✯
Answer:
Step-by-step explanation:
The square root of 6.4 is 2.5298221281347. Or,
√6.4 = 2.5298221281347
Step 1:
Divide the number (6.4) by 2 to get the first guess for the square root .
First guess = 6.4/2 = 3.2.
Step 2:
Divide 6.4 by the previous result. d = 6.4/3.2 = 2.
Average this value (d) with that of
step 3:
(2 + 3.2)/2 = 2.6 (new guess).
Error = new guess - previous value
= 3.2 - 2.6 =
0.6.
0.6 > 0.001. As error > accuracy,
we repeat this step again.
Step 4:
Divide 6.4 by the previous result. d = 6.4/2.6 = 2.4615384615.
Average this value (d) with that of
step 5:
(2.4615384615 + 2.6)/2
= 2.5307692308 (new guess).
Error = new guess - previous value
= 2.6 - 2.5307692308
= 0.0692307692.
0.0692307692 > 0.001.
As error > accuracy, we repeat this step again.
Step 6:
Divide 6.4 by the previous result.
d = 6.4/2.5307692308
= 2.5288753799.
Average this value (d) with that of
step 7:
(2.5288753799 + 2.5307692308)/2
= 2.5298223053 (new guess).
Error = new guess - previous value = 2.5307692308 - 2.5298223053 = 0.0009469255.
0.0009469255 <= 0.001.
As error <= accuracy,
we stop the iterations and use 2.5298223053 as the square root.
So,
we can say that the square root of 6.4 is 2.529 with an error smaller than 0.001 (in fact the error is 0.0009469255). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(6.4)' is 2.5298221281347035.