How to find the square root of a number by long division method
Answers
Step-by-step explanation:
To find the square root of a perfect square by using the long division method is easy when the numbers are very large since, the method of finding their square roots by factorization becomes lengthy and difficult.
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.
Answer:
SQUARE ROOTS BY LONG DIVISION METHOD - LAW
concept
To find the square by long division method we follow the following steps:
(i) First we make the pair of the digits starting from the digit's at one's place.
For making the pair place a bar over every pair of digits.
If the number of digits in it odd, then the left-most single digit will have a bar.
(ii) Find the largest number whose square is less than or equal to the number under the extreme left bar.
Take this number as the divisor and the number under the extreme left bar as dividend.
Divide and get the remainder.
(iii) To the right of the remainder place the number that is under the next bar.
(iv) Now double the divisor and enter it with blank on its right.
(v) Think a largest possible digit to fill the blank which will also become the new digit in the quotient such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend.
(vi) Repeat these steps till get the remainder 0 and no digits are left in the given number.
Example:
Find the square root of 529 by long division method.