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7 October, 17:32

What is the square root of 1.45?

Brainliest will be given for the correct answer.

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Answers (2)
  1. 7 October, 19:16
    0
    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.
  2. 7 October, 21:29
    0
    √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.
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