square root of 50625 by long division method
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Step-by-step explanation:
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The square root of 50625 is 225.
Step-by-step explanation:
- Dividing the given number into pair of two digits from right to left.
- Taking the left most pair of digit and finding the nearest square number.
- In this case, the left most digit is 5 and nearest square number is 4 (which is square of 2).
- Write 2 as a division and quotient.
- Subtracting 4 from 5 and writing remainder in next line.
- Write the second left pair of digits just besides the remainder.
- In this case, the remainder is 1 and second left pair of digit is 06; hence it becomes 106.
- Now, add the above divisor and quotient. In this case, it is 2 + 2 = 4 .
- Now, choose a number such that writing it besides the new divisor and multiplying with the same number, nearly divides the remainder pair.
- In this case, 42 x 2 = 84 and it nearly divides 106 leaving remainder 22.
- Write 2 in the quotient part.
- Again, proceeding in the same manner. Writing the next pair of digits besides the remainder.
- Adding divisor and quotient ( 42+ 2 = 44); and finding a number which on multiplying divides the remainder pair nearest.
- In this case, the remainder pair is 2225.
- The number is 445 x 5 = 2225.
- Writing 5 in the quotient part.
- The square root of 50625 is 225.
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