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The argument why the square root of 2 is irrational can be found in most high school algebra books. You can also find this proof, and several other proofs, that the square root of 2 is irrational, in the Wikipedia article "Square root of 2".The same argument can be applied to the square root of any natural number that is not a perfect square.

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9y ago

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9y ago

Rational numbers can be expressed as a fraction of two whole numbers

Sq rt (10) can not be expressed in this way so it is irrational.

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Q: Why is the square root of 10 irrational?
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