(C) Given the equation $\sqrt{2^{n}} = 64$.We know that $64$ can be written as $2^{6}$.Also,$\sqrt{2^{n}}$ can be written as $(2^{n})^{1/2} = 2^{n/2}$

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(C) Given the equation $\sqrt{2^{n}} = 64$.We know that $64$ can be written as $2^{6}$.Also,$\sqrt{2^{n}}$ can be written as $(2^{n})^{1/2} = 2^{n/2}$.Equating the powers of the same base $2$,we get $\frac{n}{2} = 6$.Multiplying both sides by $2$,we get $n = 12$.