Answer:
The number is irrational.
Step-by-step explanation:
1. Convert to decimal.
[tex]\sqrt{\frac{6}{8} } =\sqrt{0.75} =0.8660254038...[/tex]
2. Conclude.
Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is irrational.
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Note. In case the number expressed in the question was [tex]\frac{\sqrt{6} }{8}[/tex], the answer would still be irrational, for the same reasons explained above.
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