Answered

IDNLearn.com helps you find the answers you need quickly and efficiently. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.

Find the last number that must be subtracted from 1255 to make it a perfect square. Also, find the square root of the perfect square obtained.

Sagot :

GinnyAnsweridn
To solve the problem, let's follow these steps:

1. Identify the largest perfect square less than or equal to 1255:
- A perfect square is a number that can be expressed as the square of an integer. To find the largest perfect square less than or equal to 1255, we look for an integer \( n \) such that \( n^2 \leq 1255 \).
- Through our calculations, we find that the largest perfect square less than or equal to 1255 is 1225 (since \( 35^2 = 1225 \)).

2. Calculate the number that must be subtracted from 1255 to get 1225:
- To make 1255 a perfect square, we subtract the difference between 1255 and the largest perfect square we found.
- The number to be subtracted is \( 1255 - 1225 = 30 \).

3. Find the square root of the resulting perfect square:
- We have now determined that the largest perfect square less than or equal to 1255 is 1225.
- The square root of 1225 is \( \sqrt{1225} = 35 \).

Summarizing the results:
- The largest perfect square less than or equal to 1255 is 1225.
- The number that must be subtracted from 1255 to make it a perfect square is 30.
- The square root of the perfect square obtained (1225) is 35.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.