Respuesta :

Answer:

55

Step-by-step explanation:

Value of √3025 by Long Division Method

Forming pairs: 30 and 25

Find a number Y (5) such that whose square is <= 30. Now divide 30 by 5 with the quotient as 5.

Bring down the next pair 25, to the right of the remainder 5. The new dividend is now 525.

Add the last digit of the quotient (5) to the divisor (5) i.e. 5 + 5 = 10. To the right of 10, find a digit Z (which is 5) such that 10Z × Z <= 525. After finding Z, together 10 and Z (5) form a new divisor 105 for the new dividend 525.

Divide 525 by 105 with the quotient as 5, giving the remainder = 525 - 105 × 5 = 525 - 525 = 0.

We stop the process since the remainder is now 0 and there are no more digits that can be brought down.

Therefore, the square root of 3025 by the long division method is 55.