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Express 122^(2/3) as qth root of x^(p) u...

Express `122^(2/3)` as qth root of `x^(p)` using `x^(p/q)=(x^(p))^(1/q)`.

A

`root(6)(122)`

B

`root(3)(122)`

C

`root(3)((122)^(2))`

D

`sqrt((122)^(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Use `x^(m/n)=root(n)(x^(m))`
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    A
    real and equal
    B
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    real and equal
    B
    unequal and rational
    C
    unequal and irrational
    D
    nothing can be said

  • The roots of the equation (p-q) x^(2)+(q-r) x+(r-p)=0 are

    A
    `(p-q)/(r-p),1`
    B
    `(q-r)/(p-r),1`
    C
    `(r-p)/(p-q),1`
    D
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