Question

What is the least number which must be subtracted from 438867 to make it a perfect square ?

Answer 1

Hi there

The problem can be solved using division method of finding square roots.

Check attachment for solving part.

Now,
we got
Quotient =662
Remainder= 663

The least no. that is to be subtracted is the Remainder itself after division.


•°• The least no. that is to be subtracted from 438867 is 662.

The perfect square is 438867-662= 438244
Its square root is the Quotient obtained on division.
√(4398244)= 662


;)
Hope it helps
Comment if you need to clear something.

Answer 2

The least number which must be subtracted from 438867 to make it a perfect square is 623

• A number ending in 2, 3, 7 or 8 is never a perfect square.
• Hence, we can say 438867 is not a perfect square as it ends with '7'.
• Now if we use long division method to find square root of 438867, we get quotient 662 and remainder of 623.
• Therefore, 623 is the least number that must be subtracted from 438867 to make it a perfect square.

                   438867 - 623 = 438244

                   $\sqrt{438244} = 662$

                    is a perfect square.