Prove that root 3 and root 5 is irrational

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Prove that root 3 and root 5 is irrational

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Proofs concerning irrational numbers. About About this video Transcript. Sal proves that the square root of any prime number must be an irrational number.

Prove that root 3 and root 5 is irrational

Is root 3 an irrational number? Numbers that can be represented as the ratio of two integers are known as rational numbers, whereas numbers that cannot be represented in the form of a ratio or otherwise, those numbers that could be written as a decimal with non-terminating and non-repeating digits after the decimal point are known as irrational numbers. The square root of 3 is irrational. It cannot be simplified further in its radical form and hence it is considered as a surd. Now let us take a look at the detailed discussion and prove that root 3 is irrational. The square root of a number is the number that when multiplied by itself gives the original number as the product. A rational number is defined as a number that can be expressed in the form of a division of two integers, i. We can learn to prove that root 3 is irrational by following different methods. There are many ways in which we can prove the root of 3 is irrational by contradiction. Let us get one such proof.

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