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hram777 [196]
2 years ago
7

Is √6/8. rational or irrational?

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
4 0
<h2>Answer:</h2>

<em>The number is </em><u><em>irrational</em></u><em>.</em>

<h2>Step-by-step explanation:</h2>

<h3>1. Convert to decimal.</h3>

\sqrt{\frac{6}{8} } =\sqrt{0.75} =0.8660254038...

<h3>2. Conclude.</h3>

<em>Since this number shows to have infinite decimal figures, it cannot be represented as the ratio of 2 integers. Hence, the number is </em><u><em>irrational</em></u><em>.</em>

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em>Note.</em><em> In case the number expressed in the question was </em>\frac{\sqrt{6} }{8}, the answer  would still be <u><em>irrational</em></u><em>, for the same reasons explained above</em>.

<u><em>-------------------------------------------------------------------------------------------------------</em></u>

<em>Learn more about the classification of numbers here:</em>

<em>brainly.com/question/28292851</em>

<em>brainly.com/question/28292525</em>

<em>brainly.com/question/28281557</em>

<em>brainly.com/question/28262827</em>

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