document.write( "Question 139556This question is from textbook
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\n" ); document.write( " √8 \n" ); document.write( "

Algebra.Com's Answer #101748 by solver91311(24713) $\"\"$ $\"About$

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I suspect you want to simplify this expression, although you didn't bother to specify what you want.\r
\n" ); document.write( "\n" ); document.write( " $\"8%2Fsqrt%288%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Simplest terms requires that there be no radicals in the denominator if possible. So, in order to get rid of the $\"sqrt%288%29\"$ in the denominator, we have to multiply the denominator by $\"sqrt%288%29\"$ . Since we aren't allowed to change the value of the fraction in the process of simplification, we can only multiply the fraction by the value 1. So to accomplish both things at the same time, multiply the fraction by 1 in the form of $\"sqrt%288%29%2Fsqrt%288%29\"$ . The entire expression becomes:\r
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\n" ); document.write( "\n" ); document.write( " $\"%288%2Fsqrt%288%29%29%28sqrt%288%29%2Fsqrt%288%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Remember that $\"sqrt%28a%29sqrt%28a%29=a\"$ and complete the arithmetic. Remove any like factors from numerator and denominator. Once you have completed that arithmetic, you will still have a $\"sqrt%288%29\"$ to deal with, although it will be in the numerator. Notice that $\"8=4%2A2\"$ . Now we know that $\"sqrt%28ab%29=sqrt%28a%29sqrt%28b%29\"$ . So apply that rule to completely simplify $\"sqrt%288%29\"$ . \n" ); document.write( "

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