Home
Class 11
MATHS
Find the number of terms which are free ...

Find the number of terms which are free from radical signs in the expansion of `(y^(1//5)+x^(1//10))^(55)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

The number of terms free from radical sign in the expansion of (1+3^(1/3)+7^(1/7))^10 is

If the number of terms free from radicals in the expansion of (7^((1)/(3))+11^((1)/(9)))^(6561) is k, then the value of (k)/(100) is equal to

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

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

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

Find the number of terms in the expansion of (a+b)^8dot

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

Find the total number of terms in the expansion of (x^(3/2)+x^(1/2))^(10)dot

Find the 7th term in the expansion of (3x^2-1/(x^3))^(10)dot

Find the 6th term in expansion of (2x^2-1//3x^2)^(10)dot

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the coefficient of a^3b^4c in the expansion of (1+a+b-c)^9dot

    Text Solution

    |

  2. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

    Text Solution

    |

  3. Find the number of terms which are free from radical signs in the e...

    Text Solution

    |

  4. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  5. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

    Text Solution

    |

  6. Find the sum .^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9

    Text Solution

    |

  7. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

    Text Solution

    |

  8. If n is an even positive integer, then find the value of x if the gr...

    Text Solution

    |

  9. If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3...

    Text Solution

    |

  10. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

    Text Solution

    |

  11. If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...

    Text Solution

    |

  12. If |x|>1, then expand (1+x)^(-2)dot

    Text Solution

    |

  13. Find the cube root of 217, correct to two decimal places.

    Text Solution

    |

  14. Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

    Text Solution

    |

  15. Prove that ^10 C1(x-1)^2-^(10)C2(x-2)^2+^(10)C3(x-3)^2+-^(10)C(10)(x-1...

    Text Solution

    |

  16. If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...

    Text Solution

    |

  17. Prove that sum(r=0)^n r(n-r)(^nC r)^2=n^2(^(2n-2)Cn)dot

    Text Solution

    |

  18. Prove that 1-^n C1(1+x)/(1+n x)+^n C2(1+2x)/((1+n x)^2)-^n C3(1+3x)/((...

    Text Solution

    |

  19. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

    Text Solution

    |

  20. The number of terms in the expansion of (a+b+c)^n , where n in Ndot

    Text Solution

    |