# 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

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### 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:

### 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.

**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.

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

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