Question

the smallest number which when subtracted from difference of the squares of 29 and 22 that gives a perfect square is ?

Answer 1

Answer:

its 33

Step-by-step explanation:

29x29-22x22=841-484=357

closest square is of 18 which is 324

so, 357-324=33

∴answer=33

Answer 2

Answer:

The smallest number which when subtracted from the difference of the squares of 29 and 22 gives a perfect square is 33.

Solution:

Square of 29 = 29×29 = 841

Square of 22 = 22×22 = 484

Difference between the squares of 29 and 22 = 841 - 484

                                                                 = 357

The nearest perfect square is 361 and 324. According to the question, we need the smallest number which on subtraction from the difference gives a perfect square.

So the smallest natural number which should be subtracted to make it a perfect square = 357 - 324 = 33

Hence, the smallest number which when subtracted from difference of the squares of 29 and 22 gives a perfect square is 33.

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