Question

What least number must
be subtracted from 6300 to get a
a perfect square
Number?

Answer 1

Answer:

The least number must be subtractedfrom6300 is 7.

Step-by-step explanation:

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Answer 2

Answer:

59

Step-by-step explanation:

[Note - The method that I have used here is just basic Trial-And-Error analysis]

Since we can understand that 6300 is not a perfect square, some number must be added or subtracted from it to make it a perfect square.

Now, we know that 6400 is a perfect square since:

$\sqrt{6400} = 80$

But, 6400 is greater than 6300, so we cannot get 6400 from 6300 if subtraction is our only choice.

Then, the wisest, and the most obvious thing to do next is to find the square of the number lying just behind 80 in the number line, which is 79.

79² = 6241

Bingo! We got the nearest perfect square less than 6300.

Now, according to the question, we should subtract a number (Let it be x) from 6300 to get 6241.

∴, 6300 - x = 6241

=> x = 6300 - 6241 = 59

Hence, 59 is the least number that must  be subtracted from 6300 to get a

a perfect square  number.