Answer:
a. 16
Step-by-step explanation:
Consider these 3 values.
[tex] \sqrt{16} \\ \sqrt{27} \\ \sqrt{35} [/tex]
Factor 16,27 and 35.
[tex] \sqrt{4 \times 4} \\ \sqrt{3 \times 3 \times 3} \\ \sqrt{3 \times 3 \times 5} [/tex]
Pull out two same numbers out of the root.
[tex]4 \\ 3 \sqrt{3} \\ 3 \sqrt{5} [/tex]
Rational only when there are no square roots after simplify/evaluating.
Thus a. 16 is only rational here.
