document.write( "Question 256651: what is the square root of 4 over 5 but not in decimal form? \n" ); document.write( "

Algebra.Com's Answer #188747 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here is the question:
\n" ); document.write( " $\"sqrt%28+4+%2F+5%29\"$
\n" ); document.write( "We are allowed to split the sqrt as
\n" ); document.write( " $\"sqrt%284%29+%2F+sqrt%285%29\"$
\n" ); document.write( "Now sqrt(4) = 2, so , we get
\n" ); document.write( " $\"2%2Fsqrt%285%29\"$
\n" ); document.write( "but we don't like sqrt's in the denominator, so, we rationalize by multiplying by sqrt(5) on top and bottom as
\n" ); document.write( " $\"%282%2Asqrt%285%29%29\"$ / $\"sqrt%285%29%2Asqrt%285%29%29\"$
\n" ); document.write( "and then
\n" ); document.write( " $\"2sqrt%285%29%2F5\"$ \n" ); document.write( "

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