how to find square root of 7.5 using log table
Answers
Answer:
Square Root of 7.5
Step-by-step explanation:
2.73861278753
:
*Step 1:
Divide the number (7.5) by 2 to get the first guess for the square root .
First guess = 7.5/2 = 3.75.
*Step 2:
Divide 7.5 by the previous result. d = 7.5/3.75 = 2.
Average this value (d) with that of step 1: (2 + 3.75)/2 = 2.875 (new guess).
Error = new guess - previous value = 3.75 - 2.875 = 0.875.
0.875 > 0.001. As error > accuracy, we repeat this step again.
*Step 3:
Divide 7.5 by the previous result. d = 7.5/2.875 = 2.6086956522.
Average this value (d) with that of step 2: (2.6086956522 + 2.875)/2 = 2.7418478261 (new guess).
Error = new guess - previous value = 2.875 - 2.7418478261 = 0.1331521739.
0.1331521739 > 0.001. As error > accuracy, we repeat this step again.
*Step 4:
Divide 7.5 by the previous result. d = 7.5/2.7418478261 = 2.7353815659.
Average this value (d) with that of step 3: (2.7353815659 + 2.7418478261)/2 = 2.738614696 (new guess).
Error = new guess - previous value = 2.7418478261 - 2.738614696 = 0.0032331301.
0.0032331301 > 0.001. As error > accuracy, we repeat this step again.
*Step 5:
Divide 7.5 by the previous result. d = 7.5/2.738614696 = 2.7386108791.
Average this value (d) with that of step 4: (2.7386108791 + 2.738614696)/2 = 2.7386127876 (new guess).
Error = new guess - previous value = 2.738614696 - 2.7386127876 = 0.0000019084.
0.0000019084 <= 0.001. As error <= accuracy, we stop the iterations and use 2.7386127876 as the square root.
Answer:
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