Which of the following are irrational numbers?

Question

Select the two correct answers.

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Responses

2–√

square root of 2

9–√

square root of 9

8–√3

cube root of 8

9–√3

Answer 1

To identify the irrational numbers from the provided options, we need to recall that an irrational number cannot be expressed as a fraction of two integers.

1. √2 (square root of 2): This is an irrational number. It cannot be expressed as a fraction of two integers.

2. √9 (square root of 9): This is equal to 3, which is a rational number (3 can be expressed as 3/1).

3. ∛8 (cube root of 8): This is equal to 2, which is a rational number (2 can be expressed as 2/1).

4. √3 (square root of 3): This is an irrational number. It cannot be expressed as a fraction of two integers.

So, the two correct answers for irrational numbers among the options provided are:

• √2 (square root of 2)
• √3 (square root of 3)