Which statement explains why 30‾‾‾√ is considered an irrational number?

Algebra
Tutor: None Selected Time limit: 1 Day

Which statement explains why 30

 is considered an irrational number?

Jul 29th, 2015

Thank you for the opportunity to help you with your question!

 The square root of a number has to be the square root of a perfect square in order for that to be a rational number. All whole number perfect squares are squares of whole numbers. I can even prove to you that this isn't a rational number by this method:

1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36,....

As you see 30 is skipped in the perfect squares. So, √30 is apparently inbetween 5 and 6, but it is not rational, it's irrational.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 29th, 2015

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