Home
Class 11
MATHS
Evaluate using binomial theorem: (i) (...

Evaluate using binomial theorem:
`(i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6)`
`(ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) 198 " "(ii) 56sqrt(10)`
N/a
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8B|38 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8C|28 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

6.The value of (sqrt(5)+sqrt(2))(sqrt(5)-sqrt(2)) is:

Evaluate: (sqrt(3)+sqrt(5))/(sqrt(6)+sqrt(2))

(3sqrt(2))/(sqrt(6)-sqrt(3))+(2sqrt(3))/(sqrt(6)+2)-(4sqrt(3))/(sqrt(6)-sqrt(2))

Simplify by raationalising the denominator. (i) (7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)) (ii) (2sqrt(6) -sqrt(5))/(3sqrt(5)-2sqrt(6))

4^(5log_(4)(sqrt(2)(3-sqrt(6)))-6log_(8)(sqrt(3)-sqrt(2)))

(6implify:)/(2sqrt(3)-sqrt(6))+(sqrt(6))/(sqrt(3)+sqrt(2))-(4sqrt(3))/(sqrt(6)-sqrt(2))

Rationales the denominator and simplify: (1+sqrt(2))/(3-2sqrt(2))( ii) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6))

NAGEEN PRAKASHAN-BINOMIAL THEOREM-Example
  1. Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6...

    Text Solution

    |

  2. Using binomial theorem, write down the expansions of the following: (2...

    Text Solution

    |

  3. Expand (3x-2y)^(6) with the help ob binomial theorm.

    Text Solution

    |

  4. Simplify with the help of binomial theorm.

    Text Solution

    |

  5. (iii) Find an approximate value of (0.99)^5 using the first three term...

    Text Solution

    |

  6. Using binomial theorem, prove that (101)^(50)> 100^(50)+99^(50)dot

    Text Solution

    |

  7. If number of terms in the expansion of (x -2y +3z)^n are 45, then n i...

    Text Solution

    |

  8. Prove that overset(n)underset(r=0)(Sigma^(n))C(r).4^(r)=5^(n)

    Text Solution

    |

  9. If (1-x+x^(2))^(4)=1+P(1)x+P(2)x^(2)+P(3)x^(3)+...+P(8)x^(8), then pro...

    Text Solution

    |

  10. If o be the sum of odd terms and E that of even terms in the expansion...

    Text Solution

    |

  11. Find the 8th term in the expansion of ((2x)/(3)-(3)/(5x))^(12)

    Text Solution

    |

  12. Find the 13^(t h)term in the expansion of (9x-1/(3sqrt(x)))^(18),x!=0

    Text Solution

    |

  13. Find the 15th term in the expansion of "("sqrt(x)-sqrt(y)")"^(17)

    Text Solution

    |

  14. Find the middle term in the expansion of (3x-(1)/(2x))^(16)

    Text Solution

    |

  15. Find the middle term in the expansion of (1+2x+x^(2))^(10)

    Text Solution

    |

  16. Find the 4th term from the end in the expansion of (1-3x)^(10)

    Text Solution

    |

  17. Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (...

    Text Solution

    |

  18. how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) ...

    Text Solution

    |

  19. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

    Text Solution

    |

  20. Find the coefficient of x^(6) in the expansion of (2x^(3)-(1)/(3x^(3))...

    Text Solution

    |

  21. Find the coefficient of x^(7) in the expansion of (2x^(2)-(1)/(x))^(2...

    Text Solution

    |