Question

What is the square root of 1.45? Brainliest will be given for the correct answer.

Answer 1

Answer:

√1.45 = 1.2041594578792

Explanation:

Step 1:

Divide the number (1.45) by 2 to get the first guess for the square root .

Step 2:

Divide 1.45 by the previous result. d = 1.45/0.725 = 2.

Average this value (d) with that of step 1: (2 + 0.725)/2 = 1.3625

previous value = 0.725 - 1.3625 = 0.6375.

0.6375 > 0.001

Now we repeat the step

Step 3:

Divide 1.45 by the previous result. d = 1.45/1.3625 = 1.0642201835.

Average this value (d) with that of step 2: (1.0642201835 + 1.3625)/2 = 1.2133600918

Error = new guess - previous value = 1.3625 - 1.2133600918 = 0.1491399082.

0.1491399082 > 0.001.

Step 4:

Divide 1.45 by the previous result. d = 1.45/1.2133600918 = 1.1950285903.

Average this value (d) with that of step 3: (1.1950285903 + 1.2133600918)/2 = 1.2041943411 (new guess).

Error = new guess - previous value = 1.2133600918 - 1.2041943411 = 0.0091657507.

0.0091657507 > 0.001.

Step 5:

Divide 1.45 by the previous result. d = 1.45/1.2041943411 = 1.2041245757.

Average this value (d) with that of step 4: (1.2041245757 + 1.2041943411)/2 = 1.2041594584

- previous value = 1.2041943411 - 1.2041594584 = 0.0000348827.

0.0000348827 <= 0.001. accuracy, we stop the iterations and use 1.2041594584 as the square root.

Answer 2

Answer: √1.45 = 1.2041594578792

Explanation: Step 1:

Divide the number (1.45) by 2 to get the first guess for the square root .

First guess = 1.45/2 = 0.725.

Step 2:

Divide 1.45 by the previous result. d = 1.45/0.725 = 2.

Average this value (d) with that of step 1: (2 + 0.725)/2 = 1.3625.

previous value = 0.725 - 1.3625 = 0.6375.

0.6375 > 0.001. accuracy, we repeat this step again.

Step 3:

Divide 1.45 by the previous result. d = 1.45/1.3625 = 1.0642201835.

Average this value (d) with that of step 2: (1.0642201835 + 1.3625)/2 = 1.2133600918 .

previous value = 1.3625 - 1.2133600918 = 0.1491399082.

0.1491399082 > 0.001. accuracy, we repeat this step again.

Step 4:

Divide 1.45 by the previous result. d = 1.45/1.2133600918 = 1.1950285903.

Average this value (d) with that of step 3: (1.1950285903 + 1.2133600918)/2 = 1.2041943411.

previous value = 1.2133600918 - 1.2041943411 = 0.0091657507.

0.0091657507 > 0.001. accuracy, we repeat this step again.

Step 5:

Divide 1.45 by the previous result. d = 1.45/1.2041943411 = 1.2041245757.

Average this value (d) with that of step 4: (1.2041245757 + 1.2041943411)/2 = 1.2041594584.

previous value = 1.2041943411 - 1.2041594584 = 0.0000348827.

0.0000348827 <= 0.001.  accuracy, we stop the iterations and use 1.2041594584 as the square root.