Find the smallest 4 digit number which is a perfect square
Step by step explanation....
Answers
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: 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