The minimum value of 2sin x + 2cos x is

1
\({2^{ - 1 + \frac{1}{{\sqrt 2 }}}}\)
2
\({2^{ - 1 + \sqrt 2 }}\)
3
\({2^{ 1 - \sqrt 2 }}\)
4
\({2^{ 1 - \frac{1}{{\sqrt 2 }}}}\)

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