document.write( "Question 201162: Rationalize the denominator.\r
\n" ); document.write( "\n" ); document.write( "- root 245x^3/y^5 \n" ); document.write( "

Algebra.Com's Answer #151501 by jsmallt9(3758) $\"\"$ $\"About$

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I assume the problem is to rationalize $\"-sqrt%28245x%5E3%2F%28y%5E5%29%29\"$
\n" ); document.write( "If this is correct, then the denominator of fraction needs to be a perfect square. Since a variable raised to an even power is a perfect square, the current denominator, y^5, is not a perfect square. The simplest way to make the exponent on y even is to multiply y^5 by y which results in y^6. \r
\n" ); document.write( "\n" ); document.write( "The only valid way to multiply the denominator by y is to multiply the numerator by y, also:
\n" ); document.write( " $\"-sqrt%28%28245x%5E3%2Fy%5E5%29%2A%28y%2Fy%29%29\"$
\n" ); document.write( "which results in:
\n" ); document.write( " $\"-sqrt%28245x%5E3y%2Fy%5E6%29%29\"$
\n" ); document.write( "Now you can split the square root of the fraction into a fraction of square roots:
\n" ); document.write( " $\"-%28sqrt%28245x%5E3y%29%2Fsqrt%28y%5E6%29%29\"$
\n" ); document.write( "The denominator, $\"sqrt%28y%5E6%29\"$ , will simplify to y^3 making the answer:
\n" ); document.write( " $\"-%28sqrt%28245x%5E3y%29%2F%28y%5E3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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