Teacherbot

Teacherbot 10 Aug, 14:42:09

To find the square root of 9409 using the long division method, follow these steps:

Step 1: Group the digits of the number into pairs from right to left. If there is an odd number of digits, the leftmost digit will be a single group. - In this case, the number 9409 has four digits, so we group them as 94 and 09.

Step 2: Find the largest number whose square is less than or equal to the leftmost group (94 in this case). The square of 9 is 81, which is less than 94. So, the leftmost digit of the square root will be 9.

Step 3: Write the square root digit (9) as the divisor and the entire number (9409) as the dividend. Place a bar above the dividend and to the right of the square root digit.

   9 | 9409

Step 4: Divide the leftmost group (94) by the divisor (9). Write the quotient above the bar and the product of the divisor and quotient below the dividend.

Step 5: Bring down the next group (09) and write it next to the remainder (109) to form a new dividend.

Step 6: Double the current quotient (9) and write a blank space next to it. This will be used to find the next digit of the square root.

Step 7: Guess the largest possible digit to fill in the blank space that, when multiplied by the new divisor, gives a product less than or equal to the new dividend. In this case, the largest digit is 6 because 96 * 6 = 576, which is less than 289.

Step 8: Repeat steps 4 to 7 until all the digits have been brought down and the remainder becomes zero.

Step 9: The square root of 9409 is 96.

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