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    If 2160√x=240\frac{2160}{√x}=240√x2160​=240​ then the value of x is:
    Question

    If 2160x=240\frac{2160}{√x}=240​ then the value of x is:

    A.

    100

    B.

    49

    C.

    81

    D.

    58

    Correct option is C

    SOLUTION:
    Multiply both sides by √x
    2160x×x=240x\frac{2160}{√x}× √x= 240 √x​​
    Simplifying ;
    2160 = 240 × √x
    Switch sides, 

    240×(x)=2160240 × √(x ) = 2160​​

    √(x ) = 9
    Square both sides :
    x = 81

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