Question

What will be the square root of 1980 by divison method?​

Answer 1

Answer:

solved the given problem

Answer 2

Answer:

Step-by-step explanation:

Step 1:

Divide the number (1980) by 2 to get the first guess for the square root .

First guess = 1980/2 = 990.

Step 2:

Divide 1980 by the previous result. d = 1980/990 = 2.

Average this value (d) with that of step 1: (2 + 990)/2 = 496 (new guess).

Step 3:

Divide 1980 by the previous result. d = 1980/496 = 3.9919354839.

Average this value (d) with that of step 2: (3.9919354839 + 496)/2 = 249.995967742 (new guess).

Step 4:

Divide 1980 by the previous result. d = 1980/249.995967742 = 7.920127744.

Step 5:

Divide 1980 by the previous result. d = 1980/128.958047743 = 15.3538304484.

Average this value (d) with that of step 4: (15.3538304484 + 128.958047743)/2 = 72.1559390957 (new guess).

Step 6:

Divide 1980 by the previous result. d = 1980/72.1559390957 = 27.4405686464.

Average this value (d) with that of step 5: (27.4405686464 + 72.1559390957)/2 = 49.7982538711 (new guess).

Step 7:

Divide 1980 by the previous result. d = 1980/49.7982538711 = 39.7604302578.

Average this value (d) with that of step 6: (39.7604302578 + 49.7982538711)/2 = 44.7793420645 (new guess).

Step 8:

Divide 1980 by the previous result. d = 1980/44.7793420645 = 44.216817593.

Average this value (d) with that of step 7: (44.216817593 + 44.7793420645)/2 = 44.4980798288 (new guess).

Step 9:

Divide 1980 by the previous result. d = 1980/44.4980798288 = 44.4963020341.

Average this value (d) with that of step 8: (44.4963020341 + 44.4980798288)/2 = 44.4971909315 (new guess).

So, we can say that the square root of 1980 is 44.497190315.