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. Created by Sal Khan. Want to join the conversation? Log in.

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.

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Signup with Email. Proof by Contradiction: We will prove this assumption to be false by contradiction. Free Exam Preparation at your Fingertips! View All Docs. Attention Class 10 Students! Doc 7 Pages. Sign Up. Gender Male Female Others. Learn this topic in detail More from Related Course. View more.