document.write( "Question 239066: simple radical form with no radicals in the denominator 1 over the squre root of 2 \n" ); document.write( "

Algebra.Com's Answer #175593 by College Student(505) $\"\"$ $\"About$

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Problem: $\"1%2Fsqrt%282%29\"$ , express with no radicals in the denominator.
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\n" ); document.write( "We now that any number multiplied by 1 does not alter its value, right?
\n" ); document.write( "We also know that any number divided by itself equals to 1, right?
\n" ); document.write( "In order to get rid of the radical in the denominator, we need to multiply both the numerator and denominator by 1. But in this case, instead of $\"1%2F1\"$ , we will use $\"sqrt%282%29%2Fsqrt%282%29\"$ . So...
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\n" ); document.write( " $\"%281%2Fsqrt%282%29%29%2A%28%28sqrt%282%29%29%2F%28sqrt%282%29%29%29\"$
\n" ); document.write( "The two square roots in the denominators cancel., so we get:
\n" ); document.write( " $\"sqrt%282%29%2F2\"$ \n" ); document.write( "

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