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

Question

3 years ago

14

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

Mathematics

1 answer:

Tcecarenko [31] · Answer 1 · 2022-10-10T03:37:46+03:00

Tcecarenko [31]3 years ago

4 0

9514 1404 393

Answer:

3

Step-by-step explanation:

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

49 = 36 +9 +4

= 6² +3² +2²