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.