Question

Find the square root of the following using division method . iv) 36360

Answer 1

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

    ,    1       $\dot{3}$ $\overline{63}$  $\overline{60}$

       , 1       1

2,       9      2  $\overline{63}$

         9      261  

38,      0            2 60

          0            0

         .    

380,    6            26000

        ,  6           22800

3806,  8          320000

         ,  8          304480

38068, 4       1552000

           ,4

Which gives 190.684

3             63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.