Let's evaluate each expression to determine whether it is rational or irrational:
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\(3\sqrt{+25\)
- This is \(3\sqrt{25} = 3 \times 5 = 15\), which is rational.
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\(23 \times 5\sqrt{}\)
- Assuming a typo and this is intended as \(23 \times \sqrt{5}\): \(\sqrt{5}\) is irrational, thus \(23 \times \sqrt{5}\) is also irrational.
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\(2\pi + 7\)
- \(2\pi\) is irrational, hence \(2\pi + 7\) is irrational.
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\(0.5 + 34\)
- This is \(0.5 + 34 = 34.5\), which is rational.
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\(0.5\)
- This is rational (as it can be expressed as \(\frac{1}{2}\)).
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\(2\sqrt{}\)
- Assuming a typo, reading it as \(2\sqrt{2}\): \(\sqrt{2}\) is irrational, hence \(2\sqrt{2}\) is also irrational.
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\(3.5 \times 4.3\)
- This computes to \(15.05\), which is rational.
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\(49\sqrt{}\)
- Assuming this means \(\sqrt{49}\): \(\sqrt{49} = 7\), which is rational.
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\(7\pi\)
- Since \(\pi\) is irrational, \(7\pi\) is also irrational.
Summary:
-
Rational:
- \(3\sqrt{+25} = 15\)
- \(0.5 + 34 = 34.5\)
- \(0.5\)
- \(3.5 \times 4.3 = 15.05\)
- \(\sqrt{49} = 7\)
-
Irrational:
- \(23 \times \sqrt{5}\)
- \(2\pi + 7\)
- \(2\sqrt{2}\)
- \(7\pi\)
If any of the interpretations were off, please clarify, and I can make adjustments!