square root of 174.2 4 by division method..
Answers
Answer:
The square root of 174.2 is 13.198484761517. Or,
√174.2 = 13.198484761517
Step 1:
Divide the number (174.2) by 2 to get the first guess for the square root .
First guess = 174.2/2 = 87.1.
Step 2:
Divide 174.2 by the previous result. d = 174.2/87.1 = 2.
Step 2:
Divide 174.2 by the previous result. d = 174.2/87.1 = 2.
Average this value (d) with that of step 1: (2 + 87.1)/2 = 44.55 (new guess).
Error = new guess - previous value = 87.1 - 44.55 = 42.55.
42.55 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 174.2 by the previous result. d = 174.2/24.2301066218 = 7.1894029489.
Average this value (d) with that of step 3: (7.1894029489 + 24.2301066218)/2 = 15.7097547854 (new guess).
Error = new guess - previous value = 24.2301066218 - 15.7097547854 = 8.5203518364.
8.5203518364 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
Divide 174.2 by the previous result. d = 174.2/15.7097547854 = 11.0886517568.
Average this value (d) with that of step 4: (11.0886517568 + 15.7097547854)/2 = 13.3992032711 (new guess).
Error = new guess - previous value = 15.7097547854 - 13.3992032711 = 2.3105515143.
2.3105515143 > 0.001. As error > accuracy, we repeat this step again
Step 3: