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I am not sure whether the term "incommensurable" is appropriate here; the official term is "irrational", which means it can't be expressed exactly as a ratio: you can't write a fraction with integer numerator and denominator which is exactlyequal to the square root of 5 (or of any other integer that is not a perfect square) - but you can obviously get very close to the exact value with such a fraction. If you write the square root of 5 as a decimal, you will get an infinite amount of decimal digits, which will not repeat.

I am not sure whether the term "incommensurable" is appropriate here; the official term is "irrational", which means it can't be expressed exactly as a ratio: you can't write a fraction with integer numerator and denominator which is exactlyequal to the square root of 5 (or of any other integer that is not a perfect square) - but you can obviously get very close to the exact value with such a fraction. If you write the square root of 5 as a decimal, you will get an infinite amount of decimal digits, which will not repeat.

I am not sure whether the term "incommensurable" is appropriate here; the official term is "irrational", which means it can't be expressed exactly as a ratio: you can't write a fraction with integer numerator and denominator which is exactlyequal to the square root of 5 (or of any other integer that is not a perfect square) - but you can obviously get very close to the exact value with such a fraction. If you write the square root of 5 as a decimal, you will get an infinite amount of decimal digits, which will not repeat.

I am not sure whether the term "incommensurable" is appropriate here; the official term is "irrational", which means it can't be expressed exactly as a ratio: you can't write a fraction with integer numerator and denominator which is exactlyequal to the square root of 5 (or of any other integer that is not a perfect square) - but you can obviously get very close to the exact value with such a fraction. If you write the square root of 5 as a decimal, you will get an infinite amount of decimal digits, which will not repeat.

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βˆ™ 14y ago

I am not sure whether the term "incommensurable" is appropriate here; the official term is "irrational", which means it can't be expressed exactly as a ratio: you can't write a fraction with integer numerator and denominator which is exactlyequal to the square root of 5 (or of any other integer that is not a perfect square) - but you can obviously get very close to the exact value with such a fraction. If you write the square root of 5 as a decimal, you will get an infinite amount of decimal digits, which will not repeat.

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Q: How is the the square root of 5 incommensurable?
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