Answered

Join the growing community of curious minds on IDNLearn.com and get the answers you need. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

Find the smallest number that must be added to 18265 to make it a perfect square.

Sagot :

GinnyAnsweridn
To solve the problem of finding the smallest number that must be added to 18265 to make it a perfect square, follow these steps:

1. Identify the square root of the number:
- Calculate the square root of 18265. The square root of 18265 is approximately 135.16.

2. Find the next integer greater than the square root:
- The next integer greater than 135.16 is 136.

3. Calculate the square of this integer:
- The square of 136 is calculated as [tex]\( 136^2 = 18496 \)[/tex].

4. Determine the smallest addition required:
- Subtract the original number 18265 from 18496 to find the smallest number that must be added:
[tex]\[ 18496 - 18265 = 231 \][/tex]

Thus, the smallest number that must be added to 18265 to make it a perfect square is [tex]\( 231 \)[/tex].

To verify:
- If we add 231 to 18265, we get: [tex]\( 18265 + 231 = 18496 \)[/tex].
- The square root of 18496 is indeed 136, which is an integer, thus confirming that 18496 is a perfect square.

Therefore, the smallest number that must be added to 18265 to make it a perfect square is 231.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.