Question

Find the square root of 5476 by using long division method.

Answer 1

Step-1 Pair the digits starting from the units digit.

Step-2 Find a whole number whose square is just equal to or less than 54, i.e. 7 is the divisor and the quotient.

$\text{Step-3 Subtract the product}(7\times 7=49)\text{from}54.$

Step-4 Double the quotient $(7\times 2=14)$ and bring down the next pair, i.e. 76 the new dividend.

Step-5 Now think of a digit to be placed on the right of 14, such that the digit multiplied by the divisor will give 576.

$\text{Since}4\times 14\underset{–}{4}=576;\text{the square root is}74.$

$\therefore \sqrt{5476}=74$