In a way. You can multiply top and bottom by the square root of 2. This will not exactly make the expression simpler, but you'll get rid of the square root in the denominator (and transfer it to the numerator); this is considered to be the standard form for expressions which involve square roots. In other words, there should be no square roots in the denominator.
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0.0278
No, it cannot be simplified.
The square root of 12 may be simplified to 2 times the square root of 3.
1.41421356
2 times the Square root of 3 + 4