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By giving a counter example , show that...

By giving a counter example , show that the following statements are false
(i) If `sqrtp` is an irrational number then p is prime number
(ii) Square of every rational number is greater than the number itself
(iii) If all the angles of a quadrilateral is equal then it is regular

Text Solution

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(i) `sqrt8` is an irrational number but 8 is not prime. So, this counter example shows that given statement is false
(ii) Square of rational number `(2/5)` is smaller than the number itself , so statement is false
(iii) Rectangle is a quadrilateral whose all the angles are equal but it is not regular , so statement is false
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