How to find Square Root By Long Division Method
Answers
Step-by-step explanation:
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.
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Step 1: 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.