Home
Class 11
MATHS
The number of irrational terms in expans...

The number of irrational terms in expansion `(7^(1/5)-3^(1/10))^60` is (A) `54` (B) `48` (C) `42` (D) `40`

A

55

B

49

C

48

D

54

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-A)|5 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -1|2 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (S-2)|6 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|106 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

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

The number of irrational terms in the expansion of (4^(1/5)+7^(1/10))^45 is

The number of rational terms in the expansion (2^(1/5)+3^(1/(10)))^(45) is

The sum of the rational terms in expansion of (sqrt2+3^(1//5))^10 is

The number of irrational terms in the expansion of (root(5)(3) + root(3)(7))^36 is

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

The number of terms in the expansion if (a+b+c)^(12) is

Find the number of rational terms in the expansion of (2^((1)/(3)) + 3^((1)/(5)))^(600)

The number of irrational terms in the expansion of (root(8)(5)+ root(6)(2))^(100) is

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

ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE (J-M)
  1. The sum of coefficient of integral powers of x in the binomial expansi...

    Text Solution

    |

  2. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |

  3. The sum of the co-efficients of all odd degree terms in the expansion ...

    Text Solution

    |

  4. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  5. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  6. The sum of the real values of x for which the middle term in the binom...

    Text Solution

    |

  7. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

    Text Solution

    |

  8. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  9. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  10. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  11. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

    Text Solution

    |

  12. The sum of the series .^(20)C(0)-.^(20)C(1)-.^(20)C(2)-.^(20)C(3)+…+,....

    Text Solution

    |

  13. If some three consecutive coefficeints in the binomial expanison of (x...

    Text Solution

    |

  14. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

    Text Solution

    |

  15. The smallest natural number n, such that the coefficient of x in the e...

    Text Solution

    |

  16. If .^(20)C(1)+(2^(2)).^(20)C(2)+(3^(2)).^(20)C(3)+……..+(20^(2)).^(20)C...

    Text Solution

    |

  17. The term independent of x in the expansion of (1/60-(x^(8))/81).(2x^(...

    Text Solution

    |