Home
Class 9
MATHS
Simplify the following expressions: (i)...

Simplify the following expressions: (i)`(sqrt(3)+sqrt(7))^2` (ii) `(2sqrt(5)+3sqrt(2))^2`

Text Solution

Verified by Experts

(i)`(sqrt(3)+sqrt(7))^2`
=`{3+7}+{2(sqrt 3)(sqrt 7)}`
=`10+2{sqrt 21}`
(ii) `(2sqrt(5)+3sqrt(2))^2`
'{2*sqrt 5}^2 +{3*sqrt 2}^2+{2*2 sqrt(5)*3 sqrt(2)}
=`20+18+12 sqrt (10)= 38 + 12 sqrt(10)'`
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    RD SHARMA|Exercise All Questions|251 Videos

  • SURFACE AREA AND VOLUME OF A CUBOID AND CUBE

    RD SHARMA|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

Simplify the following expressions: (sqrt(3)+sqrt(7))^(2)( ii) (sqrt(5)-sqrt(3))^(2)(2sqrt(5)+3sqrt(2))^(2)

Simplify the following expressions : (a) (sqrt(3)+sqrt(5))^(2) (b) (sqrt(5)-sqrt(2))^(2)

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify each of the following expressions : (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))( ii) (5+sqrt(7))(2+sqrt(5))

Simplify the following expressions: (3+sqrt(3))(2+sqrt(2))( ii) (5+sqrt(7))(2+sqrt(5))

Simplify the following expressions: (3+sqrt(3))(3-sqrt(3))( ii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Simplify the following expressions.(i) (5+sqrt(7))(2+sqrt(5)) (ii) (5+sqrt(5))(5-sqrt(5)) (iv) (sqrt(11)-sqrt(7))(sqrt(11)+sqrt(7))

Simplify the following expressions: (i)(11+sqrt(11))(11-sqrt(11)) (ii) (5+sqrt(7))(5-sqrt(7)) (iii)(sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2)) (iiii)(sqrt(7)-3)(sqrt(7)+3)

Simplify the following expressions: (4+sqrt(7))(3+sqrt(2))( (ii) (3+sqrt(3))(5-sqrt(2))(sqrt(5)-2)(sqrt(3)-sqrt(5))

RD SHARMA-RATIONALISATION -All Questions
  1. Simplify : (sqrt(5)+sqrt(2))^2

    Text Solution

    |

  2. Rationalise the denominator of 2/(sqrt(3)) .

    Text Solution

    |

  3. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

    Text Solution

    |

  4. Simplify each of the following: (i) root(5)(16)xxroot(5)(2) (ii) ro...

    Text Solution

    |

  5. Simplify the following expressions: (i) (3+sqrt(3))\ (2+sqrt(2)) (i...

    Text Solution

    |

  6. Simplify: (5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2sqrt(...

    Text Solution

    |

  7. Simplify : (i) (sqrt(5)+sqrt(2))^2 (ii) (sqrt(11)-sqrt(5))^2

    Text Solution

    |

  8. Simplify each of the following: root(3)4xx root(3)(16) (ii) root(4)...

    Text Solution

    |

  9. Simplify the following expressions: (i)\ (4+\ sqrt(7))\ (3+sqrt(2)) ...

    Text Solution

    |

  10. Simplify the following expressions: (i)\ (11+sqrt(11))\ (11-\ sqrt(11)...

    Text Solution

    |

  11. Simplify the following expressions: (i)(3+sqrt(3))\ (3-sqrt(3)) (ii...

    Text Solution

    |

  12. Simplify the following expressions: (i)\ (sqrt(3)+\ sqrt(7))^2 (ii...

    Text Solution

    |

  13. Rationalise the denominator of 2/(sqrt(3))

    Text Solution

    |

  14. Rationalise the denominator of 1/(3+sqrt(2))

    Text Solution

    |

  15. Rationalise the denominator of 5/(sqrt(3)-\ sqrt(5))

    Text Solution

    |

  16. Rationalise the denominator of 1/(7+3sqrt(2))

    Text Solution

    |

  17. Rationalise the denominator in each of the following: (i)2/(sqrt(7))...

    Text Solution

    |

  18. Given that sqrt(5)=2. 236 approximately, find the three places of deci...

    Text Solution

    |

  19. Find the value of three places of decimals, of each of following: It...

    Text Solution

    |

  20. Find the value of three places of decimals; of each of the following...

    Text Solution

    |