Question

Square root of 8400 by long division method.

Answer 1

Answer:

91.6515138991...........

Answer 2

Answer:

Step-by-step explanation:

The square root of 8400 is 91.651513899117.

Step1:-

Divide the number 8400/2 to get the first guess for the square root

First guess is 8400/2 = 4200

Step 2 :-

Divide 8400 by the previous result. d = 8400/4200= 2

Average this value d with the step 1 : (2+4200) / 2 = 2101 (newguess)

Error = new guess - previous value

= 4200-2101 = 2099

2099>0.001 As error > accuracy we repeat this step again.

Step 3 :-

Divide 8400 by the previous result d= 8400/2101= 3.9980961447.

Average this value d with that of step 2 :

(3.9980961447+2101) /2 = 1052.4990480724

Error = newguess- previous value

= 2101- 1052.4990480724 = 1048.5009519271.

1048.5009519276>0.001 As error> accuracy, we repeat this step again.

Step 4 :-

Again divide the previous result

8400/1052.4990480724= 7.9810048431.

(7.9810048431+1052.4990480724) /2= 530.2400264578.

1052.4990480724-530.2400264578= 522.2590216146

522.2590216146>0.001

Step 5:-

Again, 8400/530.2400264578=15.8418821305

(15.8418821305+530.2400264578) /2=273.0409542942

530.2400264578-273.0409542042=257.1990721636.

257.1990721636>0.001 again repeat

Step 6:-

8400/273.0409542942=30.764615593

(30.7764615593+273.0409542942) /2=151.9027849436

273.0409542942-151.9027849436

= 121.1381693506

Again repeated in 5 times then will get , 3.61e-8

.

3.61e-8<=0.001As, error<=accuracy, we stop the iterations and use 91.6515138991 as the square root.

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