i am not able to do long division for finding out the value of root can you explain it with example 

Asked by rajivjoshigoldtech | 12th Sep, 2016, 09:57: AM

Expert Answer:

Steps of Long Division Method for Finding Square Roots:

Step I: Group the digits in pairs, starting with the digit in the units place. Each pair and the remaining digit (if any) is called a period. 

Step II: Think of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient. 

Step III: 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. 

Step IV: Now, the new divisor is obtained by taking two times 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. 

Step V: Repeat steps (2), (3) and (4) till all the periods have been taken up. Now, the quotient so obtained is the required square root of the given number.

Examples: 
 
To find the square root of numbers in the decimal form are explained in the following steps: 

Step I: Make the number of decimal places even by affixing a zero on the extreme right of the decimal part (if required). 

Step II: In the integral part, mark the periods as done while finding the square root of a perfect square of some natural number. 

Step III: In the decimal part, mark the periods on every pair of digits beginning with the first decimal place. 

Step IV: Now, find the square root by long division method. 

Step V: Put the decimal point in the square root as soon as the integral part is exhausted.

Examples:
 

Answered by Rebecca Fernandes | 12th Sep, 2016, 10:29: AM