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$$\sqrt[4]{2001 2001 2001 2001}$$ is closest to
2001
2100
6700
10010
Since options are not so close, we can think of the 4th root of $$2\times\ 10^{15}$$
This is nothing but 4th root of 2000 * $$10^{12}$$
=> 1000 * 4th root of 2000 [between 6 and 7] => Answer lies between 6000 and 7000 => Option-C
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