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2 years ago

Is √6/8. rational or irrational?

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

4 0

<h2>Answer:</h2>

The number is irrational.

<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>

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 $\frac{\sqrt{6} }{8}$ , the answer would still be irrational, for the same reasons explained above.

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Learn more about the classification of numbers here:

brainly.com/question/28292851

brainly.com/question/28292525

brainly.com/question/28281557

brainly.com/question/28262827

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