Question

What is the least number that must be subtracted from 3793 to get a perfect square? Also, find the square root of the number so obtained.​

Answer 1

Answer:

72

Step-by-step explanation:

let first find the perfect square number below 3793

by trial and error method ,

60^2 = 3600

61^2 = 3721

62^2 = 3844

therefore the perfect square below 3793 is 3721

now subtract it from given number

3793 - 3721 = 72

square root of 3721 is 61

Answer 2

Given: A number 3793

To find: The least number to be subtracted from it to get a perfect square

             The square root of the number obtained

Solution: Let's check the nearest perfect squares.

By trial and error method, it is very natural that we think about the square of 60 first.

The square of 60 is 3600.

Let us check the next perfect square after 3793.

The square of 61 is 3721.

The square of the next number 62 is 3844. This is exceeding the given number, that is, 3793.

So the nearest perfect square to 3793 is 3721.

Hence, the least number that must be subtracted from 3793 to get a perfect square = 3793 - 3721 = 72.

Now, the square root of the number so obtained, that is, 3721

= √3721 = 61.

Answer: 72

              61