Question

find the square root of 17.13 correct to 2please answer fast
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Answer 1

Answer:

4.133

Step-by-step explanation:

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Answer 2

Answer:

Step 1:

Divide the number (17.13) by 2 to get the first guess for the square root .

First guess = 17.13/2 = 8.565.

Step 2:

Divide 17.13 by the previous result. d = 17.13/8.565 = 2.

Average this value (d) with that of step 1: (2 + 8.565)/2 = 5.2825 (new guess).

Error = new guess - previous value = 8.565 - 5.2825 = 3.2825.

3.2825 > 0.001. As error > accuracy, we repeat this step again.

Step 3:

Divide 17.13 by the previous result. d = 17.13/5.2825 = 3.2427827733.

Average this value (d) with that of step 2: (3.2427827733 + 5.2825)/2 = 4.2626413866 (new guess).

Error = new guess - previous value = 5.2825 - 4.2626413866 = 1.0198586134.

1.0198586134 > 0.001. As error > accuracy, we repeat this step again.

Step 4:

Divide 17.13 by the previous result. d = 17.13/4.2626413866 = 4.0186350308.

Average this value (d) with that of step 3: (4.0186350308 + 4.2626413866)/2 = 4.1406382087 (new guess).

Error = new guess - previous value = 4.2626413866 - 4.1406382087 = 0.1220031779.

0.1220031779 > 0.001. As error > accuracy, we repeat this step again.

Step 5:

Divide 17.13 by the previous result. d = 17.13/4.1406382087 = 4.1370434065.

Average this value (d) with that of step 4: (4.1370434065 + 4.1406382087)/2 = 4.1388408076 (new guess).

Error = new guess - previous value = 4.1406382087 - 4.1388408076 = 0.0017974011.

0.0017974011 > 0.001. As error > accuracy, we repeat this step again.

Step 6:

Divide 17.13 by the previous result. d = 17.13/4.1388408076 = 4.138840027.

Average this value (d) with that of step 5: (4.138840027 + 4.1388408076)/2 = 4.1388404173 (new guess).

Error = new guess - previous value = 4.1388408076 - 4.1388404173 = 3.903e-7.

3.903e-7 <= 0.001. As error <= accuracy, we stop the iterations and use 4.1388404173 as the square root.

So, we can say that the square root of 17.13 is 4.13884 with an error smaller than 0.001 (in fact the error is 3.903e-7). this means that the first 6 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(17.13)' is 4.1388404173149755.

Note: There are other ways to calculate square roots. This is only one of them.

Step-by-step explanation: