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MATH / The integer 49 can be written as the sum of smaller perfect squares in a variety…

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problem

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+125 + 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?
Plain-text mathematical notation (without MathML)
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?
Original LaTeX notation
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?

level

Level 4

type

Prealgebra

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Source and history

task_id
29dd014d-d3a4-58a5-a99c-54ac94e33a43
task_key
prealgebra--test--29dd014d-d3a4-58a5-a99c-54ac94e33a43
task_revision_id
1
config / split
prealgebra / test

Official source

initial import