Question

find the square root of 459634 by long division method step by step ​

Answer 1

Step-by-step explanation:

Square root by long division method: Any number can be expressed as a product of prime numbers. This method of representation of a number in terms of the product of prime numbers is termed as prime factorization method. It is the easiest method known for the manual calculation of the square root of a number. But this method becomes tedious and tiresome when the number involved is large. Therefore, to find the square root of large numbers we use the long division method.

Also, to find the square roots of imperfect squares such as 2,3,5,6,8,etc., we can use long division method avoiding the use of calculators.