Question

find the least number that must be subtrated from 5607 to make a perfect square

Answer 1

Since we can clearly see that56075607 must be lying between(70)2and (80)2

Now, we have to find exactly for two numbers it should be lying between

So, let us start with (75)2=5625, here we can see that 56725672is exceeding 5607

Now, we find squares for less than 75:(74)2=547675:(74)2=5476

So, we can see that this number must be lying between squares of 7474 and 75

Since we have to subtract the number from 56075607 become a perfect square (i.e.(74)2=5607−5476=131