Question

Find the smallest 4 digit number which is a perfect square


Step by step explanation....​

Answer 1

Answer:

1024

Step-by-step explanation:

Smallest 4-digit number = 1000.

Finding Square root by long division:

       31

     --------

3  | 1000

   | 9

      --------

61 |   100

        61

        -------

           39

Here,

Remainder = 39

Since Remainder is not 0,

So, 1000 is not a perfect square.

From the above method,

we observe that (31) ² < 1000 < 32²

The required number to be added = 32² - 1000

= 1024 - 1000

= 24

So, the least number to be added is 24.

Required perfect square number = 1000 + 24 = 1024.

And, √1024 = 32

Therefore, The least 4 - digit perfect square number = 1024.

Hope it helps!

Answer 2

Answer: it will be 1024 ( 32*32).

Step-by-step explanation: first divide the number 1000 (smallest four digit number) to find out the square root.if the number is not perfect square the reminder will not be 0 then. Find the square of one number greater than the quotient . that will be the answer