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Prove that sqrt( 7) is irrational....

Prove that `sqrt( 7)` is irrational.

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KUMAR PRAKASHAN-MATHEMATICAL REASONING-TEXT BOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Write the contrapositive of the following statement: If you are born ...

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  2. Write the contrapositive of the following statement: if a triangle i...

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  3. Write the converse of the following statements: If a number n is eve...

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  4. Write the converse of the following statements: If you a do all the e...

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  5. Write the converse of the following statements: If two integers a and...

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  6. For each of the following compound statements, first identify the corr...

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  7. For each of the following compound statements, first identify the corr...

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  8. Given below are two pairs of statements. Combine these two statement...

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  9. Given below are two pairs of statements. Combine these two statement...

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  10. Check whether the following statement is true or not: If x,y in Z a...

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  11. Check whether the following statement is true or not: If x,y in Z a...

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  12. Prove that sqrt( 7) is irrational.

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  13. By Giving a counter example show that the following statement is false...

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  14. Check whether''Or'' used in the following compound statement is exclus...

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  15. Write the negation of the following statements: p: For every real nu...

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  16. Write the negation of the following statements: q: There exists a ra...

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  17. Write the negation of the following statements: r: All birds have wi...

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  18. Write the negation of the following statements: s: All students stud...

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  19. Using the words ''necessary and sufficient'' rewrite the statement ''T...

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  20. For the given statements identify the necessary and sufficient conditi...

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