Question

square root of 636 step by step​

Answer 1

Answer:

25.2190404258

Step-by-step explanation:

636 is not a perfect square so we calculate in calculator

Answer 2

Answer:

25.2190404259

Step-by-step explanation:

Step 1:

Divide the number (636) by 2 to get the first guess for the square root .

First guess = 636/2 = 318.

Step 2:

Divide 636 by the previous result. d = 636/318 = 2.

Average this value (d) with that of step 1: (2 + 318)/2 = 160 (new guess).

Error = new guess - previous value = 318 - 160 = 158.

158 > 0.001. As error > accuracy, we repeat this step again.

Step 3:

Divide 636 by the previous result. d = 636/160 = 3.975.

Average this value (d) with that of step 2: (3.975 + 160)/2 = 81.9875 (new guess).

Error = new guess - previous value = 160 - 81.9875 = 78.0125.

78.0125 > 0.001. As error > accuracy, we repeat this step again.

Step 4:

Divide 636 by the previous result. d = 636/81.9875 = 7.7572800732.

Average this value (d) with that of step 3: (7.7572800732 + 81.9875)/2 = 44.8723900366 (new guess).

Error = new guess - previous value = 81.9875 - 44.8723900366 = 37.1151099634.

37.1151099634 > 0.001. As error > accuracy, we repeat this step again.

Step 5:

Divide 636 by the previous result. d = 636/44.8723900366 = 14.1735262927.

Average this value (d) with that of step 4: (14.1735262927 + 44.8723900366)/2 = 29.5229581647 (new guess).

Error = new guess - previous value = 44.8723900366 - 29.5229581647 = 15.3494318719.

15.3494318719 > 0.001. As error > accuracy, we repeat this step again.

Step 6:

Divide 636 by the previous result. d = 636/29.5229581647 = 21.5425566927.

Average this value (d) with that of step 5: (21.5425566927 + 29.5229581647)/2 = 25.5327574287 (new guess).

Error = new guess - previous value = 29.5229581647 - 25.5327574287 = 3.990200736.

3.990200736 > 0.001. As error > accuracy, we repeat this step again.

Step 7:

Divide 636 by the previous result. d = 636/25.5327574287 = 24.9091780148.

Average this value (d) with that of step 6: (24.9091780148 + 25.5327574287)/2 = 25.2209677218 (new guess).

Error = new guess - previous value = 25.5327574287 - 25.2209677218 = 0.3117897069.

0.3117897069 > 0.001. As error > accuracy, we repeat this step again.

Step 8:

Divide 636 by the previous result. d = 636/25.2209677218 = 25.2171132772.

Average this value (d) with that of step 7: (25.2171132772 + 25.2209677218)/2 = 25.2190404995 (new guess).

Error = new guess - previous value = 25.2209677218 - 25.2190404995 = 0.0019272223.

0.0019272223 > 0.001. As error > accuracy, we repeat this step again.

Step 9:

Divide 636 by the previous result. d = 636/25.2190404995 = 25.2190403522.

Average this value (d) with that of step 8: (25.2190403522 + 25.2190404995)/2 = 25.2190404259 (new guess).

Error = new guess - previous value = 25.2190404995 - 25.2190404259 = 7.36e-8.

7.36e-8 <= 0.001. As error <= accuracy, we stop the iterations and use 25.2190404259 as the square root.