1.75 square
lare root by division method
Answers
Answer:
Divide the number (1.75) by 2 to get the first guess for the square root .
First guess = 1.75/2 = 0.875.
Step 2:
Divide 1.75 by the previous result. d = 1.75/0.875 = 2.
Average this value (d) with that of step 1: (2 + 0.875)/2 = 1.4375 (new guess).
Error = new guess - previous value = 0.875 - 1.4375 = 0.5625.
0.5625 > 0.001. As error > accuracy, we repeat this step again.
Step 3:
Divide 1.75 by the previous result. d = 1.75/1.4375 = 1.2173913043.
Average this value (d) with that of step 2: (1.2173913043 + 1.4375)/2 = 1.3274456522 (new guess).
Error = new guess - previous value = 1.4375 - 1.3274456522 = 0.1100543478.
0.1100543478 > 0.001. As error > accuracy, we repeat this step again.
Step 4:
Divide 1.75 by the previous result. d = 1.75/1.3274456522 = 1.318321392.
Average this value (d) with that of step 3: (1.318321392 + 1.3274456522)/2 = 1.3228835221 (new guess).
Error = new guess - previous value = 1.3274456522 - 1.3228835221 = 0.0045621301.
0.0045621301 > 0.001. As error > accuracy, we repeat this step again.
Step 5:
Divide 1.75 by the previous result. d = 1.75/1.3228835221 = 1.322867789.
Average this value (d) with that of step 4: (1.322867789 + 1.3228835221)/2 = 1.3228756555 (new guess).
Error = new guess - previous value = 1.3228835221 - 1.3228756555 = 0.0000078666.
0.0000078666 <= 0.001. As error <= accuracy, we stop the iterations and use 1.3228756555 as the square root.
The square root of 1.75 is 1.3228756555323. Or,
√1.75 = 1.3228756555323
Step-by-step explanation:
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Square root of 1.75 is 1.322 (upto 3 decimal places)
