Home
Class 12
MATHS
Find the coefficient of x^3 in ( sqrt(x^...

Find the coefficient of `x^3` in `( sqrt(x^5) + (3)/(sqrt(x^3)) )^6`

Text Solution

Verified by Experts

The correct Answer is:
540
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.1 ( SHORT ANSWER QUESTIONS)|21 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 3.1 ( LONG ANSWER QUESTIONS)|10 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|10 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

The coefficient of x^3 in (sqrt(x^5)+(3)/(sqrt(x^3)))^6 is

Find the coefficient of x^5 in (x+3)^8

Find the coefficient of x^6 in (1 - 3x)^(-2//5)

The coefficient of x^5 in (2-x +3x^2)^6 is

Find the coefficient of x^(-6)" in "(3x-(4)/(x))^(10)

Find the domain of f(x) = sqrt(x^(2)-1) + (1)/(sqrt(x^(2)-3x+2))

The coefficient of x^(3) in log(1-5x+6x^(2)) is

Find the coefficient of x^(6) in the expansion of (1-3x)^((-2)/(5))

AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - 3.1 (VERY SHORT ANSWER QUESTIONS)
  1. Find the coefficient of x^2 in (7x^3 - (2)/(x^2))^9

    Text Solution

    |

  2. Find the coefficient of x^(-8) in (2x^4 - (1)/(3x^2) )^5

    Text Solution

    |

  3. Find the coefficient of x^3 in ( sqrt(x^5) + (3)/(sqrt(x^3)) )^6

    Text Solution

    |

  4. Find the coefficient of x^9 and x^10 in (2x^2 - 1/x)^20

    Text Solution

    |

  5. Find the independent of x in ((x^(1//2))/(3) - (4)/(x^2))^10

    Text Solution

    |

  6. Find the independent of x in ((3)/(root(3)(x)) + 5 sqrtx)^25

    Text Solution

    |

  7. Find the independent of x in (4x^3 + (7)/(x^2))^14

    Text Solution

    |

  8. Find the term independent of x in the expansion of ((2x^(2))/(5)+(15...

    Text Solution

    |

  9. Find the independent of x in (3x^2 + (5)/(x^3) )^12

    Text Solution

    |

  10. Find the independent of x in (2x^2 - 3/x)^9

    Text Solution

    |

  11. Find the independent of x in ((sqrtx)/(3) - (4)/(xsqrtx))^12

    Text Solution

    |

  12. Prove that : Find the term independent of x (that is the constant ter...

    Text Solution

    |

  13. Find the term independent of x in (1+3x)^(n)(1+(1)/(3x))^(n).

    Text Solution

    |

  14. Find the middle term (s) in the expansion of ((3x)/(7) - 2y)^10

    Text Solution

    |

  15. Find the middle term (s) in the expansion of (4x^2 + 5x^3)^17

    Text Solution

    |

  16. Find the middle term (s) in the expansion of ((3)/(p^3) + 5p^4)^20

    Text Solution

    |

  17. Find the middle term (s) in the expansion of (3x^2 + (5)/(x^3))^12

    Text Solution

    |

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

    Text Solution

    |

  19. If the k^(th) term is the middle term in (x^2 - (1)/(2x))^20 find Tk a...

    Text Solution

    |

  20. Find the largest binomial coefficients in the expansion of (1+x)^19

    Text Solution

    |