Home
Class 11
MATHS
In the expansion of (2sqrt(2)+root4(7))...

In the expansion of `(2sqrt(2)+root4(7))^(100)` the number of the term free from radical sign is `…………`

A

24

B

26

C

28

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|1 Videos
  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|16 Videos
  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|58 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (x^(2)-1/(x^(2)))^(16) , the value of constant term is …….

Find the sixth term of the expansion (y^(1/2) +x^(1/3))^(n) , if the Binomial coefficient of the third term from the end is 45.

If the constant term in expansion of (sqrt(x)-k/(x^(2)))^(10) is 405 then find the value of k .

Find the square root of 11+2sqrt(30)

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1)

Find the square root of 5+2sqrt6

Find n in the Binomial (root3(2)+1/(root3(3)))^(n) , if the ratio of 7th term from the beginning to the 7th term from the end is 1/6 .

Find the middle term in expansion of : (x^(2)+a^(2))^(5)

Find the middle term in expansion of : (1-2x+x^(2))^(n)

KUMAR PRAKASHAN-BINOMIAL THEOREM -TEXTBOOK BASED MCQS
  1. (1+x)^(10)=a(0)+a(1)x+a(2)x^(2)+……..+a(10)x^(10) then the value of (a(...

    Text Solution

    |

  2. The sum of the coefficient in the expansion (1+x-3x^(2))^(4331) is ………

    Text Solution

    |

  3. In the expansion of (2sqrt(2)+root4(7))^(100) the number of the term ...

    Text Solution

    |

  4. Dividing 5^(99) by 13 , the remainder is …………

    Text Solution

    |

  5. 9^(7) +7^(9) is divisible by …………

    Text Solution

    |

  6. sum(r=0)^(n).^(n)C(r)4^(r)=..........

    Text Solution

    |

  7. If (1+2x-3x^(2))^(5)=1+a(1)x+a(2)x^(2)+….+a(10)x^(10) then the value o...

    Text Solution

    |

  8. (2+sqrt(3))^(4)+(2-sqrt(3))^(4) = x+ ysqrt(3) then y = ………..

    Text Solution

    |

  9. In the expansion of (1+x)^(n) if the coefficients of the terms 5^(th) ...

    Text Solution

    |

  10. The constant term in the expansion of (x-1/(3x^(2)))^(9) is the ……… te...

    Text Solution

    |

  11. In the expansion of (1+x)^(21)+(1+x)^(22) +…….+(1+x)^(30) , the coeffi...

    Text Solution

    |

  12. In the expansion of (x+a)^(100)+(x-a)^(100) , there are ………… terms

    Text Solution

    |

  13. The middle term in the expansion (x^(2)-1/(2x))^(20) is r than (r+3)^(...

    Text Solution

    |

  14. In the expansion of (x^(4) -1/(x^(3)))^(15) if in the r^(th) temr , t...

    Text Solution

    |

  15. If 5^(th),6^(th) and 7^(th) terms in the expansion of (1+y)^(n) are in...

    Text Solution

    |

  16. If in the expansion of (a+b)^(n) , (T(2))/(T(3)) is equal to (T(3))/(...

    Text Solution

    |

  17. The constant term in the expansion of (1/2x^(1/3)+x^(-1/5))^(8) is ……...

    Text Solution

    |

  18. The coeficient of (x^(7)y^(3)) in the expansion of (x-y)^(10)- th...

    Text Solution

    |

  19. [(sqrt(3)+1)^(6)]= ……… Where "[ ]" is a greatest integar function .

    Text Solution

    |

  20. 10 C(1)+10 C(3) +10 C(5) +10 C(7) +10 C(9) = …….

    Text Solution

    |