Home
Class 12
MATHS
The number of terms free from radical si...

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

A

4

B

5

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 2 (Level - I) Objective Problems (GENERAL TERM )|4 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 2 (Level - I) Objective Problems (MIDDLE TERM)|3 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 1 Objective Problems ( SECTION - H : BINOMIAL THEOREM FOR ANY INDEX )|2 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • The number of terms free from radicals in the expansion of (7^(1//3) +11^(1//9))^(6561) is equal to

    A
    715
    B
    725
    C
    730
    D
    750

  • The number of terms which are free from radical signs in the expansion of (x^(1//5)+y^(1//10))^(55) is

    A
    6
    B
    7
    C
    8
    D
    none

  • Number of irrational terms in the binomial expansion of (3^(1//5) +7^(1//3) )^(100) is

    A
    90
    B
    88
    C
    94
    D
    95

    • Similar Questions

    Explore conceptually related problems

    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 (5^(1//2) + 7^(1//6) )^(642) is

    The sum of the all rational terms in the expansion of (3^(1//7) + 5^(1//2))^(14) is

    The number of integral terms in the expansion of (5^((1)/(6))+7^((1)/(9)))^(1824) is

    The number of irrational terms in the expansion of (2^(1//5) + 3^(1//10))^(55) is

    Home
    Profile