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alukav5142 [94]
3 years ago
6

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

Mathematics
1 answer:
Nata [24]3 years ago
3 0

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)

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