182k views
5 votes
The integer 49 can be written as the sum of smaller perfect squares in a variety of ways. One such way includes six terms: $25 9 9 4 1 1$. If each term has a value between 0 and 49, what is the fewest number of perfect square terms smaller than 49 that can be added together for a sum of 49

User Jon Gan
by
5.4k points

1 Answer

6 votes

9514 1404 393

Answer:

3

Explanation:

The minimum length of the sum of perfect squares that total 49 is 3:

49 = 36 +9 +4

= 6² +3² +2²