Question

find the least number that should be subtracted from 2750 to get a perfect square. also find the square so obtained.

Answer 1

Answer:

46 should be subtracted from 2750 to get a perfect square.

The perfect square would be 2704.

Step-by-step explanation:

We can check which is the closest square which comes before 2750

When we check, we can take the squares of numbers we already know like 50^2 = 2500 so we get to know that the closest square to 2750 is 2704 that is by hit and trial.

52 square is 2704 and 53 square is 2809 so we will take 52 square,since the question requires the given number to be subtracted.

We subtract the closest square from the given number to get the number required to be subtracted from the given number.

2750-2704 = 46.

Hence we will subtract 46 from 2750 so it becomes a perfect square.

And the square obtained would be 2704 or we can say the closest perfect square from 2750.

I hope it helps!