Question

find square root by division method 11449

Answer 1

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SQUARE ROOT BY DIVISION METHOD OF 11449


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Answer 2

Answer:

Square root of 11449 is 107.

Step-by-step explanation:

We have to find: Square root of 11449 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 1, 2nd having 14 , 3rd 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 = 0 . So, New dividend = 14

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 = 20, and quotient become 10

Step 5:  Repeat Step 3

remainder will be  14, So, New dividend = 1449

Step 6: Repeat Step 4

New divisor we get = 207, and Quotient become = 107

Therefore, Square root of 11449 is 107