Question

find the square root of 75625 by long division method​

Answer 1

Answer:

275

Hope so this helps you....

Answer 2

$\bf{\huge{\boxed{\underline{\mathfrak{\res{Answer:}}}}}}$

$\implies$ When numbers are very large, the method of finding their square roots by Prime Factorisation becomes lengthy. Hence, Long Division Method is used.

$\textbf{\underline{\underline{Steps\:For\:Finding :}}}$

Step 1 : Mark Off the Digits in Pairs starting with ones digit. Each pair and remaining one digit is called a Period.

Step 2 : Think of largest number whose square is either equal to or just less than the first Period starting from the left. This digit is the quotient as well as the divisor. Put the quotient above the period and write the product of divisors and quotients just below the first period.

Step 3 : Find the remainder.

Step 4 : Bring down the next pair of digits to the right of the remainder. This becomes new dividend.

Step 5 : Double the current question and enter it as divisor with a blank on its right.

Step 6 : Guess the largest possible digit to fill the black which also becomes new digit in the quotient

Step 7 : Now, Subtract the product of new divisor and the new digit from the new dividend.

Step 8 : If remainder is zero and No period is left,then we stop and the current quotient is the square root of given number.

And if quotient is non-zero Then repeat the Steps from 5 to 8 till all the periods have been taken care of.

= > Refer to the attachment

$\sqrt{75625} = 275$