what least number must be added to 630 to make the sum a perfect square? find the perfect square and its square root.
25^2 = 625
so, figure 26^2, and subtract 630 from that.
or, find √630 = 25.099
so, since 25^2 < 630 and 26^2 > 630
as above...
To find the least number that must be added to 630 to make the sum a perfect square, we will first determine the closest perfect square less than 630.
To do this, we find the square root of 630.
Using a calculator, we find that the square root of 630 is approximately 25.0998.
The nearest perfect square less than 630 is 25^2 = 625.
To find the least number to be added to 630 to make it a perfect square, we subtract the nearest perfect square from 630.
630 - 625 = 5.
Therefore, the least number that must be added to 630 to make it a perfect square is 5.
The perfect square obtained is 630 + 5 = 635.
To find the square root of 635, you can use a calculator or estimate.
Using a calculator, we find that the square root of 635 is approximately 25.1987.
Hence, the perfect square is 635 and its square root is approximately 25.1987.
To find the least number that must be added to 630 to make the sum a perfect square, we need to take the square root of 630 and find the next highest integer value. Let's proceed step-by-step:
1. Calculate the square root of 630:
√630 ≈ 25.09998
2. Round up the square root value to the next highest integer:
25 + 1 = 26
3. Square the rounded up value:
26^2 = 676
4. Find the difference between the squared value and 630:
676 - 630 = 46
Therefore, the least number that must be added to 630 to make the sum a perfect square is 46. The perfect square is 676, and its square root is 26.