Question

Find the square root of 14161 by long division method

Answer 1

Answer:

Square Root of 14161 is 119.

Step-by-step explanation:

We have to find: Square root of 14161 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. 1 st having only 1, 2 nd having 41 and 3 rd having 61.

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 = 041

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 = 21. and quotient become 11

Step 5: Repeat Step 3.

remainder will be 20 . So, New dividend = 2061

Step 6: Repeat Step 4.

New divisor we get = 229 and Quotient become = 119

Therefore, Square root of 14161 is 119

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