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14

Simplify:

15

Simplify:

18

Show that

34

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

Assertion (A) | Reason (R) |

The rational numbers between and are: | A rational number between two rational numbers p and q is |

35

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

Assertion (A) | Reason (R) |

is irrational number. | Square root of a positive integer which is not a perfect square is an irrational number. |

36

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

Assertion (A) | Reason (R) |

e is an irrational number. | is an irrational number. |

37
The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

Assertion (A) | Reason (R) |

is an irrational number. | The sum of a rational number and an irrational number is an irrational number. |

38

Match the following columns:

Column I | Column II |

A. B. C. The length of period of D. If then | (p) 14 (q) 6 (r) a rational number (s) an irrational number |

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

39

Match the following columns:

Column I | Column II |

A. B. then x = ……. , C. then D. | (p) 4 (q) (r) (s) 3 |

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

50

If and find

52

if show that

53

if show that

54

if show that

55

if show that

6

Divide

13

If

15

Simplify:

17

Match the following columns:

Column I | Column II |

A. B. C. D. | (p) a rational number (q) an irrational number (r) (s) |

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

20

Prove that