Question

positive square root of 7.3441 plz step by step answer
i will follow him/ her who answer this plz do it fast it's urgent​

Answer 1

Answer:

Step-by-step explanation:

Step 1:

Divide the number (7.3441) by 2 to get the first guess for the square root .

First guess = 7.3441/2 = 3.67205.

Step 2:

Divide 7.3441 by the previous result. d = 7.3441/3.67205 = 2.

Average this value (d) with that of step 1: (2 + 3.67205)/2 = 2.836025 (new guess).

Error = new guess - previous value = 3.67205 - 2.836025 = 0.836025.

0.836025 > 0.001. As error > accuracy, we repeat this step again.

Step 3:

Divide 7.3441 by the previous result. d = 7.3441/2.836025 = 2.5895751977.

Average this value (d) with that of step 2: (2.5895751977 + 2.836025)/2 = 2.7128000989 (new guess).

Error = new guess - previous value = 2.836025 - 2.7128000989 = 0.1232249011.

0.1232249011 > 0.001. As error > accuracy, we repeat this step again.

Step 4:

Divide 7.3441 by the previous result. d = 7.3441/2.7128000989 = 2.7072027913.

Average this value (d) with that of step 3: (2.7072027913 + 2.7128000989)/2 = 2.7100014451 (new guess).

Error = new guess - previous value = 2.7128000989 - 2.7100014451 = 0.0027986538.

0.0027986538 > 0.001. As error > accuracy, we repeat this step again.

Step 5:

Divide 7.3441 by the previous result. d = 7.3441/2.7100014451 = 2.7099985549.

Average this value (d) with that of step 4: (2.7099985549 + 2.7100014451)/2 = 2.71 (new guess).

Error = new guess - previous value = 2.7100014451 - 2.71 = 0.0000014451.

0.0000014451 <= 0.001. As error <= accuracy, we stop the iterations and use 2.71 as the square root.

So, we can say that the square root of 7.3441 is 2.71 with an error smaller than 0.001 (in fact the error is 0.0000014451). this means that the first 5 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(7.3441)' is 2.71.

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