Question

Find the square of 459684 by long
Division method​

Answer 1

Answer:

The square root is 678

Step-by-step explanation:

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Answer 2

Answer:

The square root of 459684 is 678.

Step-by-step explanation:

Given : a number 459684.

To find : we need to find the square root of the given number  by long division method.

Solution :  square root is the factor of a number whose product with itself gives the original number.

Here, we have to find the square root using long division method.

In long division method ,

step1 :At first,  the given number is paired from the right-hand side. If it is odd number, one digit remains under the pair at the left side of the number. IF it is even number then two digits lie in the left side pair. Here, it is even number, so we take 45 as the dividend.

step2 : Now the divisor should be a number whose product by itself gives the dividend or a number less than dividend. we divide and get the remainder .

step3 : Then the next pair is brought down along with the remainder which is left. Now the divisor will be the quotient multiplied by2.

step 4: the process continues until the remainder becomes zero. Then the quotient becomes the square root.

Here we start with 45 as the dividend.        

      6)459684(678

        36        

    127) 996

          889    

  1348)10784

           10784

              0  

Now, the remainder becomes zero .so we stop here. Thus the quotient 678 is the required square root of the number 459684.

√459684 = 678.

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