document.write( "Question 115872: How do you tell what is a rational number and a irational number?
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Algebra.Com's Answer #84324 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "the $\"rational\"$ $\"+numbers\"$ are the numbers of arithmetic: the whole numbers, fractions, mixed numbers, and decimals; together with their negative images\r
\n" ); document.write( "\n" ); document.write( "A rational number $\"can\"$ $\"always\"$ be written in what form as a fraction $\"a%2Fb\"$ , where $\"a+\"$ and $\"b\"$ are integers (b is not = 0).\r
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\n" ); document.write( "\n" ); document.write( "When $\"a\"$ and $\"b\"$ are positive, that is, when they are natural numbers, then we can always name their ratio.\r
\n" ); document.write( "\n" ); document.write( " $\"Only\"$ the square roots of square numbers are rational.\r
\n" ); document.write( "\n" ); document.write( "An $\"irrational\"$ $\"+number\"$ is any real number that is $\"not\"$ a rational number -- that is, it is a number which $\"cannot\"$ be expressed as a fraction $\"a%2Fb\"$ , where $\"a\"$ and $\"b\"$ are integers, with $\"b\"$ non-zero.\r
\n" ); document.write( "\n" ); document.write( "If we attempted to express an $\"irrational\"$ $\"+number\"$ as a complete decimal, then, clearly, we could not, because if we could, the number would be rational.\r
\n" ); document.write( "\n" ); document.write( "Examples of both $\"rational\"$ and $\"irrational\"$ numbers:
\n" ); document.write( " $\"sqrt%281%29+=+1\"$ , $\"sqrt%284%29+=+2+\"$ , $\"sqrt%289%29+=3\"$ ЕЕЕ. rational numbers\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%282%29+\"$ , $\"sqrt%283%29+\"$ , $\"sqrt%285%29\"$ , $\"sqrt%286%29+\"$ , $\"sqrt%287%29+\"$ , $\"sqrt%288%29+\"$ ЕЕЕ. irrational numbers\r
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