Rational and Irrational numbers

S.Hobden

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Mar 13, 2006
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Two questions i had on an assignment were about Rational and Irrational numbers. I would just like to check my answers.

1) Is sqrt[3] an irrational number?

2) Are 3<sup>-1</sup>, -4, sqrt[-25] all rational numbers?
 
S.Hobden said:
Two questions i had on an assignment were about Rational and Irrational numbers. I would just like to check my answers.

1) Is sqrt[3] an irrational number? Yes....this is correct.


2) Are 3<sup>-1</sup>, -4, sqrt[-25] all rational numbers?
3<sup>-1</sup> means 1/3, so yes, this is rational.
-4 can be written as -4/1, so yes, this is rational.
sqrt(-25) is NOT a real number (because multiplying any real number times itself always results in something greater than or equal to 0). Because it is not a real number, it is neither rational nor irrational.
 
oh sorry

those were my answers.

I just wanted to check if they were correct
 
Resort to the definition.

Can '3' be expressed as a ratio of two itegers? 3/1 Yes.
Can '\(\displaystyle \pi\)' be expressed as a ratio of two itegers? No.
 
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