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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

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The correct Answer is:
6 terms (0, 10, 20, 30, 40, 40, 50)
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Knowledge Check

  • 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

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

    A
    47
    B
    56
    C
    50
    D
    48

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

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

    The number of rational terms in the expansion of (x^(1//5)+y^(1//10))^(45) is __________

    The number of terms in the expansion of (x+y+z)^(10) is

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