Question

Is the number √5 rational, irrational, both rational and irrational, or neither rational nor irrational?

Answer 1

Hi there!  

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I believe your answer is:  

The square root of 5 ($\sqrt{5}$) is irrational.

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Here’s why:  

• A rational number is a number that can be rewritten as a fraction of two integers with a nonzero denominator.  

• Rational numbers include integers, fractions, terminating decimal, or repeating decimals.
• A square root that is perfect would be rational. A non-perfect square root is irrational.  

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Since the square root of 5 is not a perfect square, it would be irrational.

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Hope this helps you. I apologize if it’s incorrect.