A number to the power of 1/2 is equal to the square root of the number.
The expression can be rewritten as the following number:
[tex] \sqrt{48} [/tex]
To further simplify the expression, write out the prime factorization of 48:
[tex]\sqrt{48} = \sqrt{8 \times 6} = \sqrt{4 \times 2 \times 2 \times 3} = \sqrt{2 \times 2 \times 2 \times 2 \times 3}[/tex]
Take any number that is multiplied twice in the equation, and move it outside of the root:
[tex] \sqrt{2 \times 2} = 2[/tex]
[tex]\sqrt{2 \times 2} = 2[/tex]
[tex]2 \times 2 \sqrt{3} = 4 \sqrt{3}[/tex]
The simplified form of this expression is 4√3.
