Question

find square root of 418609 by division method

Answer 1

This is the answer of ur question

Answer 2

Answer:

Square Root of 418609 is 647.

Step-by-step explanation:

We have to find: Square root of 418609 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. $418609=\overline{41}\,\overline{86}\,\overline{09}$

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 6.

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 will be 5 . So, New dividend = 586

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 divisior we get = 124.

Step 5:  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 will be 90 . So, New dividend = 9009

Step 6: 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 divisior we get = 1287

Therefore, Square root of 418609 is 647.