Question

Square root of 227.798649 by long division method

Answer 1

hope this answer helps you

Answer 2

Answer:

Square root of 227.798649 is 15.093

Step-by-step explanation:

We have to find: Square root of 227.798649 by long division method.

Follow the following steps:

Step 1: Group the digits in pairs, starting with the digit in the units place. Each pair and the remaining digit is called a period. in this case we have 3 periods. 1st having 2, 2nd having 27 , 3rd having 79 , 4th having 86 and 5th having 49.

Step 2:  Find the largest number whose square is equal to or just less than the first period. Take this number as the divisor and as the quotient.

we get Divisor = 1 and quotient = 1

Step 3: Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. This becomes the new dividend.

remainder = 1 . So, New dividend = 127

Step 4: Now, the new divisor is obtained by taking two the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.

New divisor we get = 25, and quotient become 15

Step 5:  Repeat Step 3

remainder will be  2, So, New dividend = 279

Step 6: Repeat Step 4

New divisor we get = 300, and Quotient become = 15.0

Step 7:  Repeat Step 3

remainder will be  279. So, New dividend = 27986

Step 8: Repeat Step 4

New divisor we get = 3009, and Quotient become = 15.09

Step 9:  Repeat Step 3

remainder will be  905. So, New dividend = 90549

Step 10: Repeat Step 4

New divisor we get = 30183, and Quotient become = 15.093

Therefore, Square root of 227.798649 is 15.093