Home
Class 11
MATHS
Find the number of integral terms in the...

Find the number of integral terms in the expansion of `(5^(1/2)+7^(1/8))^1024.`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

Similar Questions

Explore conceptually related problems

Find the number of irrational terms in the expansion of (5^(1//6)+2^(1//8))^(100)dot

The number of integral terms in the expansion of (3^(1/2)+2^(1/2))^(500) is

The number of terms in the expansion of (x+y)^5 is

The number of terms in the expansion of (x+1/x)^29 is

The number of integral of integral terms in the expansion of (17^(1/3)+35^(1/2))^(600) is

Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

The number of irrational terms in the expansion of (3^((1)/(8)) + 5^((1)/(4)))^(84) is

The number of irrational terms in the expansion of (3^((1)/(6))+5^((1)/(4)))^(84) is

Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(1-3sqrt(2)x)^9dot

find the middle term in the expansion of (x/2+1/x)^7

PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
  1. The 3rd,4th and fifth terms in the expansion of (x+a)^n are 252, 1512,...

    Text Solution

    |

  2. The coefficient of three consecutive terms in the expansion of (1+x)^n...

    Text Solution

    |

  3. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

    Text Solution

    |

  4. Show that the integral part of the value of (9+4sqrt5)^n is odd for po...

    Text Solution

    |

  5. If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...

    Text Solution

    |

  6. If coefficient of x^2 and x^11 are 27 and -192 respectively of (1+ax+2...

    Text Solution

    |

  7. Find the coefficient of x^5 in the expansion of (1+x)^21+(1+x)^22+...+...

    Text Solution

    |

  8. Determine the x-independent term in the expansion of (1+4x)^p(1+1/(4x)...

    Text Solution

    |

  9. For ninN , 2^(3n)-1 is divisible by

    Text Solution

    |

  10. For ninN , n^3+2n is divisible by

    Text Solution

    |

  11. ForninN , 3^(2n-1)+2^(n+1) is always divisible by

    Text Solution

    |

  12. For ninN 2^(3n)-7n-1 is always divisible by

    Text Solution

    |

  13. The greatest positive integer divides (n+1)(n+2)..........(n+r) is

    Text Solution

    |

  14. Applying the principle of mathematical induction (P.M.I.) prove that 1...

    Text Solution

    |

  15. Using mathematical induction show 7+77+777+......+n terms =7/81(10^(n+...

    Text Solution

    |

  16. Applying P.M.I. prove that x^n-y^n is always divisible by x+y where n...

    Text Solution

    |

  17. Applying the principle mathematical induction (P.M.I.) show that 5^(2n...

    Text Solution

    |

  18. Applying P.M.I. prove that (1+x)^n gt 1+nx where n is a pos integer an...

    Text Solution

    |

  19. Prove that (costheta+isintheta)^n=cosntheta+isinntheta by P.M.I. where...

    Text Solution

    |

  20. For which natural numbers n the inequality 2^ngt2n+1is true?

    Text Solution

    |