Home
Class 12
MATHS
Show that the number of terms with integ...

Show that the number of terms with integral values in the expansion of `(3^(1//3) +7^(1//2))^(400)` is 67.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.2 (Level - 1) |19 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.3 (Level - 1) |42 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|95 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

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

Write the general term in the expansion of (3 - (5x)/(4))^(-1//2)

Find the general term in the expansion of (3 + x/2)^(-2//3)

Prove that : Write the general term in the expansion of (2-3x)^(-1//3)

The number of integral terms in the expansion of (sqrt2 + root(4)(3))^100 is

If the number of terms in the expansion of (2^(1//3)x+3^(-1//3)y+2z)^n is 78, then n=

The first negative term in the expansion of (1+x)^(3//4) is

The number integral terms in the expansion of (sqrt3+root(8)(5))^256 is

Find the middle terms are in the expansion of (2x+3y)^7

AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 1.1 (Level - 1)
  1. If (1+x+x^(2))^(n)=b(0)+b(1)x+b(2)x^(2)+….+b(2n)x^(2n) then prove that...

    Text Solution

    |

  2. Prove that AA n in N 3^(3n)-26n-1 is divisible by 676.

    Text Solution

    |

  3. Prove that AA n in N 6^(n)-5n leaves remainder 1 when divided by 25...

    Text Solution

    |

  4. Prove that AA n in N 9^(n+1)-8n-9 is divisible by 64

    Text Solution

    |

  5. Prove that AA n in N 5^(4n)+52n-1 is divisible by 676.

    Text Solution

    |

  6. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

    Text Solution

    |

  7. Show that the number of terms with integral values in the expansion of...

    Text Solution

    |

  8. Find the coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6...

    Text Solution

    |

  9. Find the coefficient of x^(3) in the expansion of (2-x+5x^(2))^(6).

    Text Solution

    |

  10. If the coefficients of r^("th"),(r+1)^("th") and (r+2)^("nd") terms in...

    Text Solution

    |

  11. If a(1), a(2), a(3), a(4) are the coefficients of the 2^(nd), 3^(rd),...

    Text Solution

    |

  12. If P and Q are the sum of odd terms and the sum of even terms respecti...

    Text Solution

    |

  13. If P and Q are the sum of odd terms and the sum of even terms respecti...

    Text Solution

    |

  14. Simplify the following (sqrt(3)+sqrt(2))^(4)-(sqrt(3)-sqrt(2))^(4)

    Text Solution

    |

  15. Simplify the following (sqrt(2)+1)^(5) +(sqrt(2)-1)^(5)

    Text Solution

    |

  16. Simplify the following (sqrt(3)+1)^(5) -(sqrt(3) -1)^(5)

    Text Solution

    |

  17. Simplify the following (sqrt(x+1) + sqrt(x-1))^(6) +(sqrt(x+1) - sqr...

    Text Solution

    |

  18. Using binomial theorem, prove that 50^(n)-49n-1 is divisible by 49^(2)...

    Text Solution

    |

  19. Using binomial theorem, prove that 5^(4n)+52n-1 is divisible by 676 fo...

    Text Solution

    |

  20. Find the remainder when 2^(2013) in divided by 17.

    Text Solution

    |