Question

Is the following sum rational or irrational?

√8/3 + √16

rational
irrational

Answer 1

Since the sum involves a non-exact root, it is an irrational number.

What are rational and irrational numbers?

• Rational numbers are numbers that can be represented by fractions, such as terminating decimals.

• Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.

From this, the sum of an irrational number with a rational number is irrational. The square root of 8, which is used in this sum, is not exact, hence it is an irrational number, and thus the sum is irrational.

More can be learned about rational and irrational numbers at https://brainly.com/question/17232771

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