Question

Find the smallest number which when subtracted from 5330 the difference is a perfect square

Answer 1

Answer:

1

Step-by-step explanation:

Square of 73 is 5329

So subtract 1 & you have a perfect square.

Answer 2

Answer:

The number to be subtracted from 5330 to get a perfect square is 1

Step-by-step explanation:

Perfect square is a number that can be described as a product of two equal integers.For Example 3×3=9,(-4)×(-4)=16 etc.

we have to find how much needs to be subtracted from 5330 to get a Perfect square, So if we subtract 2 from 5330 i.e 5330-2=5228 which is not a perfect square and if we subtract 3 from 5330 i.e 5330-3=5227 which is also not a perfect square.

Therefore,when we subtract 1 from 5330 i.e 5330-1=5229=$(73)^{2}$

Hence the smallest number we need to subtract from 5330 is 1 and the integer which is a perfect is 73.