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

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

The correct answer is: Irrational, because one of the addends has a radical.The closure property states that the sum of two rational numbers is always rational, and the sum of two irrational numbers is always irrational. In this case, one of the addends is an irrational number (the square root of 7), and the other is a rational number (8). Therefore, the sum of these two numbers will be irrational.

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