Question

find the list number 6 digit which is a perfect square​

Answer 1

Answer:

100489

Step-by-step explanation:

We know that the lowest 6 digit number is 100000. Now from the photo that I had given along my answer, you can see that it is not a perfect square.

The quotient I am getting is 316.

Now, if we take a square then 312²=99856

As it is a 5 digit number it cannot be our answer. So, the rule that I know is that we now have to take a greater number (only greater by 1,I guess) and see if after squaring it, we get a 6 digit number or not.

So, 317²=100489 is the answer.

Therefore, 100489 is the least 6 digit number which is a perfect square.

Hope it helps you ♥️♥️

Answer 2

The least number with six digits is 100000. To find the least square number with six digits, we must find the smallest number that must be added to 100000 in order to make a perfect square. For that, we have to find the square root of 100000 by the long division method as follows:

100000 is 489 (4389 - 3900) less than 3172. Hence, to be a perfect square, 489 should be added to 100000. 100000+ 489 = 100489

Hence the least number of six digits that is a perfect square is 100489.