Question

square root of 998001 using long division method​

Answer 1

Square Root of 998001 is 999.

Step-by-step explanation:

Given Number is 998001

To find: Square root of the given number using Division Method.

Step 1: First we pair the number from one place we get \overline{99}\overline{80}\overline{01}

99

80

01

Step 2: Divide 99 by 9 as square of 9 is less than 99.

After this step quotient is 9 and remainder is 18

Step 3: Bring 80 down with 18. now we have 1880 dividend

Step 4: we add 9 to 9 and get 18. now we chose a no. at once place of 18_ such than it must be less than or equal to 1880. That no is 9 as 189 × 9 = 1701 < 1880

Step 5: After step 4 quotient is 99 and remainder is 179

Step 6: Bring 01 down with 179. now we have 17901 dividend

Step 7: we add 9 to 189 and get 198. now we chose a no. at once place of 198_ such than it must be less than or equal to 179001. That no is 9 as 1989 × 9 = 17901

Step 8: After step 7 quotient is 999 and remainder is 0

Therefore, Square Root of 998001 is 999.