Yes, you are correct.
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\(\sqrt{9} = 3\), which is a whole number and therefore a rational number.
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\(\sqrt{8}\) can be simplified to \(2\sqrt{2}\). Since \(\sqrt{2}\) is an irrational number, \(2\sqrt{2}\) is also irrational, making \(\sqrt{8}\) an irrational number.
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\(\sqrt{10}\) is not a perfect square, and it cannot be expressed as a fraction of two integers, which makes it an irrational number as well.
To summarize:
- \(\sqrt{9}\) is rational.
- \(\sqrt{8}\) is irrational.
- \(\sqrt{10}\) is irrational.
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