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56 = 0 + 4 + 16 + 36 = 02 + 22 + 42 + 62

Incidentally, I did this using a brute force Python code.

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Q: How do you apply Pierre de Fermat's theory that any number can be written as the sum of four square numbers to the number 56?
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Pierre de Fermat a 17 century French lawyer stated that any whole number can be written as the sum of four or fewer square numbers Express 61 as such a sum?

According to Pierre de Fermat's theorem, any whole number can be written as the sum of four or fewer square numbers. To express 61 as such a sum, we can use the numbers 1, 2, 3, and 7 squared (1, 4, 9, and 49). So, 61 can be written as 1^2 + 2^2 + 3^2 + 7^2.


What is a number that cannnot be written as a ratio of two numbers?

An irrational number is a number that cannot be written as a ratio of two numbers.


What is a number that can be written as a quotient of 2 positive or negative numbers?

Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.


What numbers that can be written as a fraction?

all rational numbers can be written as fractions. That is the definition of rational numbers.


What number can be written as a ratio of 2 numbers?

It depends on what type of numbers they are. A number that can be written as a ratio of 2 integers is a rational number. If one of the numbers is irrational or complex the answer is complicated.


Why does a real number must be a rational number?

because it can be written as a fraction. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


What is the difference from rational numbers and a number?

A rational number can be written as (one whole number) divided by (another whole number). An irrational number can't.


What number is any rational or irrational number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Can a rational number be written in a decimal?

Yes, all rational numbers can be written as decimal numbers.


How can you make a number a rational number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. You must make sure it can be written as a fraction.


What is the definition of rational number and whole number?

Rational numbers are numbers that can be written as a fraction. A whole number is a number with no decimals.


What number is a rational number but not an integer?

Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction. Any number that is a fraction is not an integer, but rational.