Question

Find the square root 289 by division method

Answer 1

To find square root of 289 using Long Division Method (LDM).

Step 1:
Take first number alone.
   _______
1 | 289 (1
  | 1
  |--------
  | 189
  |---------------

Step 2:
Multiply the quotient by 2 and divide the remainder value by the result.

    ________
  1 | 289 (17
    | 1
    |------
 27 | 189
    | 189
    |--------
    |  0
    |--------

So the square root of 289 is 17.

Answer 2

          _ __
1      ) 2 89 ( 1 7
(+1)  -1
           _ __
 27    ) 1 89 (
          -1 89
          _____
               0       
          _____
∴√289 = 17