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    ?3136=12\sqrt\frac{?}{3136}=\frac{1}{2}3136?​​=21​​ Find the value of ?
    Question

    ?3136=12\sqrt\frac{?}{3136}=\frac{1}{2}​ Find the value of ?

    A.

    1568

    B.

    56

    C.

    28

    D.

    784

    Correct option is D

    Given:
    ?3136=12\sqrt{\dfrac{?}{3136}} = \dfrac{1}{2} \\
    Formula Used:
    If xy=mn, then xy=m2n2\text{If } \sqrt{\dfrac{x}{y}} = \dfrac{m}{n}, \text{ then } \dfrac{x}{y} = \dfrac{m^2}{n^2}​​
    Solution:
    ?3136=12Squaring both sides?3136=14?=31364?=784\sqrt{\dfrac{?}{3136}} = \dfrac{1}{2} \\\text{Squaring both sides} \\\dfrac{?}{3136} = \dfrac{1}{4} \\? = \dfrac{3136}{4} \\? = 784​​
    The value of ? = 784

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