Question

Determine whether the sum of two values is a rational number or an irrational number.

Answer 1

Answer:

1). Rational

2). Irrational

3). Rational

4). Rational

5). Irrational

Step-by-step explanation:

To solve this question we should follow the rule,

"Addition of rational and an irrational number is an irrational number."

1). $\sqrt{16}=4$ (rational number)

   $-\frac{21}{5}$ (negative rational number)

   $\sqrt{16}-\frac{21}{5}=4-\frac{21}{5}$

                  $=-\frac{1}{5}$ [rational number]

2). π → (Irrational number)

   24 → (rational number)

   π + 24 → (Irrational number)

   Since addition of a rational and an irrational number is an irrational number.

3). $\sqrt{4}$ = 2 (rational number)

     5 (rational number)

    2 + 5 = 7 (rational number)

4). $\sqrt{36}=6$ (rational number)

   $\sqrt[3]{27}=3$ (rational number)

    $\sqrt{36}+\sqrt[3]{27}=9$ (rational number)

5). $\frac{3}{4}$ (rational number)

   $\sqrt{27}$ → (Irrational number)    

   $\frac{3}{4}+\sqrt{27}$ → (Irrational number)