find the square root of 610.09 in long division method
Answers
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Answer:
Square root of 610.09 is 24.7
Step-by-step explanation:
We have to find: Square root of 610.09 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 6, 2nd having 10 and 3rd having 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 Divisor = 2 and quotient = 2
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 = 2 . So, New dividend = 210
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 = 44, and quotient become 24
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 34, So, New dividend = 3409
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 divisor we get = 487, and Quotient become = 24.7
Therefore, Square root of 610.09 is 24.7
