Apply the Closure Property to predict the answer. Will the sum of problem below, be an irrational or rational number?

Question

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1 point
square root 7+8
It could be either, because there is one of each type of number.
Irrational, because one of the addends has a radical.
Rational, because both addends are rational.
It is neither because there is no fraction.

Answer 1

To determine whether the sum \(\sqrt{7} + 8\) is rational or irrational, let's analyze the components:

• \(\sqrt{7}\) is an irrational number.
• \(8\) is a rational number.

According to the properties of numbers, the sum of a rational number and an irrational number is always irrational.

So the correct conclusion is:

Irrational, because one of the addends has a radical.