Home
Class 12
MATHS
Find the number of irrational terms in t...

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

A

96

B

97

C

98

D

99

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)|23 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Concept Based Single Correct Answer Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

Find the number of rational terms in the expansion of (9^(1//4)+8^(1//6))^(1000) .

The number of irrational terms in the expansion of (5^((1)/(3))+2^((1)/(4)))^(100) is

If n is the number of irrational terms in the expansion of (3 ^(1//4) + 5 ^(1//8)) ^(60) , then (n-1) is divisible by :

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 (2^(1//5) + 3^(1//10))^(55) is

The number of irrational terms in the binomial expansion of (3^(1//5) + 7^(1//3))^(100) is ___

The number of integral terms in the expansion of (3^(1//2)+5^(1//8))^(256) is

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
  1. Number of zeroes at the end of 99^(1001)+1?

    Text Solution

    |

  2. The co-efficient of x^k (0 <= k <= n) in the expansion of E= 1+(1+x) +...

    Text Solution

    |

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

    Text Solution

    |

  4. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

    Text Solution

    |

  5. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

    Text Solution

    |

  6. If in the expansion of (1 + ax)^(n),n in N, the coefficient of x an...

    Text Solution

    |

  7. The greatest value of the term independent of x, as alpha varies over ...

    Text Solution

    |

  8. Sum of the last 20 coefficients in the expansion of (1 + x)^(39), when...

    Text Solution

    |

  9. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the su of C1+2C3+3C...

    Text Solution

    |

  10. Let R=(2+sqrt(3))^(2n) and f=R-[R] where [ ] denotes the greatest in...

    Text Solution

    |

  11. If [ ] denotes the greatest integer function, then [( sqrt2 + 1)^(6)) ...

    Text Solution

    |

  12. Sum of the coefficients of the terms of degree m in the expansion of (...

    Text Solution

    |

  13. The remainder when 2^(2000) is divided by 17 is

    Text Solution

    |

  14. If (1 + x + x^(2))^(48) = a(0) + a(1) x + a(2) x^(2) + ... + a(96) x^(...

    Text Solution

    |

  15. Sum of the series S = 3^(-1)(""^(10)C(0))-""^(10)C(1)+(3)(""^(10)C(2))...

    Text Solution

    |

  16. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

    Text Solution

    |

  17. Let E = 1^(2017) + 2^(2017) + 3^(2017) + ... + 2016^(2017), then E is ...

    Text Solution

    |

  18. Let (1 + x + x^(2))^(100)=sum(r=0)^(200)a(r)x^(r) and a=sum(r=0)^(200)...

    Text Solution

    |

  19. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

    Text Solution

    |

  20. Sum of the last 12 coefficients in the binomial expansion of (1 + x)^...

    Text Solution

    |