There's no reason why it should be, it's 2, end of story.
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Yes the square root of 2 is a surd which is an irrational number that can't be expressed as a fraction.
Yes.
The square root of 82 cannot be reduced as a surd.
The square root of eight is an irrational real number.
Expressed as a surd, the square root of 28 is equal to 2 root 7.