Question

find the square root of 148225 by long division method

Answer 1

Answer:

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Answer 2

Answer:

The value of square root of 148225 is 385.

Step-by-step explanation:

Given : A number 148225.

To find : The square root using long division.

Solution: The square root of a number is a number that when multiplied with that same number we get the original number.

We have different methods of finding square root. prime factorisation is one method to find the square root.

Long division is another method used to find the square root .Here, we will use long division method to find the square root.

step 1:The digits are paired starting from right to left. Here, we take 14 at first.

step 2: Then check for a number which when multiplied by same number, gives 14 or below 14. here, 3 is the number.

step 3: Just like the ordinary division we subtract 9 from 14 .

step 4: With the remainder , next two digits is written and it becomes the new divident. Then the divisor is added with same number and with that number a new number is written to multiply with that same new number to get the divident or its nearest smaller number.

the process continues until the remainder becomes zero.

3 )148225(385  

+3  9          

68)582

+8 544        

765 )3825

        3825

           0  

Therefore , the value of √148225 is 385.

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