Question

find the square root of the following number by long division method of 0.000 53361​

Answer 1

√0.00053361= 0.0231

hope it helps you.......

Answer 2

look 8 decimal places means when it comes out of square root it will have only 4 decimal places left..

2nd take 61 of 533/61 if u notice 1 comes only in 1 and 9 of square root.. and it means that at unit place either 1 or 9 will come.

if you see 533 if lie between 529 and 576 which is the squares of 23 and 24 respectively. according to the rule we have to pick the smaller one so the digit is either 231 or 239. for confirmation we usually multiplely 23 X 23+ 1 = 553 which is larger than 533 so we go with 231 and then when we combine 4 decimal places than the answer will be 0.0231