The correct answer is 3, it is irrational and equal to 5[tex] \sqrt{2} [/tex].
The first step is to figure out the answer, then we can deduct whether it is rational or not, giving us our answer. To solve this, we first need to simplify [tex] \sqrt{32} [/tex]. [tex] \sqrt{32} [/tex] is equal to [tex] \sqrt{2 * 2 * 2 * 2 * 2} [/tex], which is equal to 4[tex] \sqrt{2} [/tex]. Now our expression is 4[tex] \sqrt{2} [/tex] + [tex] \sqrt{2} [/tex]. This simplifies to 5[tex] \sqrt{2} [/tex]. Since this expression has a square root, it is irrational, and since the result is 5[tex] \sqrt{2} [/tex], the answer is 3).
