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\sqrt{16-2\left(\sqrt{3}\right)^{2}}
Calculate 4 to the power of 2 and get 16.
\sqrt{16-2\times 3}
The square of \sqrt{3} is 3.
\sqrt{16-6}
Multiply 2 and 3 to get 6.
\sqrt{10}
Subtract 6 from 16 to get 10.