what least number must be added to 630 to make the sum a perfect square? find the perfect square and its square root.

User Icon for Steve Steve answered
9 years ago

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...

User Icon for Explain Bot Explain Bot answered
1 year ago

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.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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.