Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Statement Are True and False? in Each Case Give a Valid Reason for Saying Sot : √ 11 is a Rational Number. - Mathematics

 statement are true and false? In each case give a valid reason for saying so

 t :  \[\sqrt{11}\]  is a rational number. 

 

 

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Solution

 11 is a prime number and we know that the square root of any prime number is an irrational number. Therefore, 

\[\sqrt{11}\]  is an irrational number.

Thus, the given statement is false. 

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 31 Mathematical reasoning
Exercise 31.6 | Q 7.5 | Page 29
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