√0.9= ?
your answer should be 0.94
plzz tell me the answer step by step.
Answers
Answer:
0.94868329805
Step-by-step explanation:
The square root is an irrational number, so you won't be able to get an exact answer for that. But I guess you can simplify it instead.
√
0.9
=
√
9
⋅
0.1
=
3
√
0.1
Or, if you want a more exact answer, you can use a calculator to get an approximate square root.
√
0.9
≈
0.94868329805
Answer:
0.94868329805
Step-by-step explanation:
Step 1:
Divide the number (0.9) by 2 to get the first guess for the square root .
First guess = 0.9/2 = 0.45.
Step 2:
Divide 0.9 by the previous result. d = 0.9/0.45 = 2.
Average this value (d) with that of step 1: (2 + 0.45)/2 = 1.225 (new guess).
Error = new guess - previous value = 0.45 - 1.225 = 0.775.
0.775 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
Divide 0.9 by the previous result. d = 0.9/1.225 = 0.7346938776.
Average this value (d) with that of step 2: (0.7346938776 + 1.225)/2 = 0.9798469388 (new guess).
Error = new guess - previous value = 1.225 - 0.9798469388 = 0.2451530612.
0.2451530612 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 0.9 by the previous result. d = 0.9/0.9798469388 = 0.9185108045.
Average this value (d) with that of step 3: (0.9185108045 + 0.9798469388)/2 = 0.9491788717 (new guess).
Error = new guess - previous value = 0.9798469388 - 0.9491788717 = 0.0306680671.
0.0306680671 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
Divide 0.9 by the previous result. d = 0.9/0.9491788717 = 0.9481879831.
Average this value (d) with that of step 4: (0.9481879831 + 0.9491788717)/2 = 0.9486834274 (new guess).
Error = new guess - previous value = 0.9491788717 - 0.9486834274 = 0.0004954443.
0.0004954443 <= 0.001. As error <= accuracy, we stop the iterations and use 0.9486834274 as the square root.
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