According to the Closure Property, 14+2–√

Question

would result in what type of number?(1 point)
Responses

Integer
Integer

Zero
Zero

Rational
Rational

Irrational

Answer 1

To determine the type of number resulting from the expression $14+2-\sqrt{2}$, let's break it down:

1. Identify the components:

   • $14$ is an integer.
   • $2$ is also an integer.
   • $\sqrt{2}$ is an irrational number.

2. Combine them:

   • First, add the integers: $14+2=16$.
   • Next, subtract the irrational number: $16-\sqrt{2}$.

Since subtracting an irrational number from a rational number results in an irrational number, we conclude that $14+2-\sqrt{2}$ is irrational.

Therefore, the correct response is:

Irrational.