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