Home
Class 9
MATHS
Examine each of the as a rational number...

Examine each of the as a rational number or an irrational number.
`(3+sqrt(3)) (3-sqrt(3))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RATIONAL AND IRRATIONAL NUMBERS

    ICSE|Exercise EXERCISE 1 (A)|12 Videos

  • RATIONAL AND IRRATIONAL NUMBERS

    ICSE|Exercise EXERCISE 1 (B)|43 Videos

  • PYTHAGORAS THEOREM

    ICSE|Exercise 4 MARKS QUESTIONS|9 Videos

  • RECTILINEAR FIGURES

    ICSE|Exercise QUADRILATERALS AND ITS PROPERTIES - 4 MARKS QUESTIONS|7 Videos

Similar Questions

Explore conceptually related problems

Examine each of the as a rational number or an irrational number. (3 + sqrt(2))^(2)

Examine each of the as a rational number or an irrational number. (6)/(sqrt(3))

Insert a rational number and an irrational number between 3 and 4.

Identify each of the following as rational or irrational number . (i) sqrt(12) (ii) 3 sqrt(2) xx sqrt(8)

Insert two rational numbers and two irrational numbers between sqrt(3) and sqrt(7) .

Insert a rational and an irrational number between 2 and 3.

A rational number between sqrt(2) and sqrt(3) is

Prove that 2sqrt3 is an irrational number

Insert two rational numbers and two irrational numbers between sqrt3 and sqrt 8.

Prove that sqrt(3) is an irrational number.

ICSE-RATIONAL AND IRRATIONAL NUMBERS -EXERCISE 1 (D)
  1. Examine each of the as a rational number or an irrational number. ...

    Text Solution

    |

  2. Simplify : sqrt(18)/(5sqrt(18)+3sqrt(72)-2sqrt(162))

    Text Solution

    |

  3. Simplify : (sqrt(x^(2)+y^(2))-y)/(x-sqrt(x^(2)+y^(2)))-:(sqrt(x^(2)+y^...

    Text Solution

    |

  4. Evaluate, Correct to one place to decimal, the expression 5/(sqrt(20)-...

    Text Solution

    |

  5. If x = sqrt(3)- sqrt(2) find the value of x+(1)/(x)

    Text Solution

    |

  6. If x = sqrt(3)- sqrt(2) find the value of x^(2)+ (1)/(x^(2))

    Text Solution

    |

  7. If x = sqrt(3)- sqrt(2) find the value of x^(3)+ (1)/(x^(3))

    Text Solution

    |

  8. If x = sqrt(3)- sqrt(2) find the value of x^(3)+(1)/(x^(3))- 3 (x^(2...

    Text Solution

    |

  9. State true or false: (i) Negative of an irrational number is irratio...

    Text Solution

    |

  10. Draw a line segment of length sqrt(3) cm.

    Text Solution

    |

  11. Draw a line segment of length sqrt(8) cm.

    Text Solution

    |

  12. Solve : (4-sqrt(5))/(4+sqrt(5))+ (2)/(5+sqrt(3))+(4+sqrt(5))/(4-sqrt(5...

    Text Solution

    |

  13. Show that : x^(3)+(1)/(x^(3))=52 , if x =2 + sqrt(3)

    Text Solution

    |

  14. Show that : x^(2)+ (1)/(x^(2)) = 34 , if x =3 +2sqrt(2)

    Text Solution

    |

  15. Show that : (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(2sqrt(3))/(sqr...

    Text Solution

    |

  16. Show that x is irrational if: x^(2)=6

    Text Solution

    |

  17. Show that x is irrational if: x^(2)=0.009

    Text Solution

    |

  18. Show that x is irrational if: x^(2)=27

    Text Solution

    |

  19. Show that x is rational if : x^(2)=16

    Text Solution

    |

  20. Show that x is rational if : x^(2)=0.0004

    Text Solution

    |

  21. Show that x is rational if : x^(2)= 1(7)/(9)

    Text Solution

    |