document.write( "Question 472843: How do you add a whole number to a simplified square root?
\n" ); document.write( "Example: 6+3sqr3
\n" ); document.write( "I can't get a square root symbol to copy and paste. So sqr is where it should be. \r
\n" ); document.write( "\n" ); document.write( "Also, how do you multiply 2 square root fractions?
\n" ); document.write( "Example: sqr of 1/4 x sqr of 2/9\r
\n" ); document.write( "\n" ); document.write( "Thanks so much \n" ); document.write( "

Algebra.Com's Answer #324267 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6+%2B+3%2Asqrt%283%29\"$ cannot be added together unless you resolve the number under the square root sign to a number that is not under the square root sign.
\n" ); document.write( "since $\"sqrt%283%29\"$ is equal to 1.732050808, then you replace $\"sqrt%283%29\"$ with 1.732050808 and you get 6 + 3*1.732050808 = 6 + 5.196152423 = 11.196152423.
\n" ); document.write( "if you do not resolve $\"sqrt%283%29\"$ to a number, then it has to be shown as you are showing it.
\n" ); document.write( " $\"sqrt%281%2F4%29+%2B+sqrt%282%2F9%29\"$ cannot be combined unless you resolve the number under the square root sign to a number that is not under the square root sign.
\n" ); document.write( "radicals have certain properties that allow some operations to be applied to them and do not allow other operations to be applied to them.
\n" ); document.write( "some of the properties are:
\n" ); document.write( " $\"sqrt%28a%29+%2A+sqrt%28b%29+=+sqrt%28a%2Ab%29\"$
\n" ); document.write( " $\"sqrt%28a%29+%2F+sqrt%28b%29+=+sqrt%28a%2Fb%29\"$
\n" ); document.write( "you can add square roots together if the term under the square root sign is the same.
\n" ); document.write( "example:
\n" ); document.write( " $\"sqrt%2820%29+%2B+sqrt%285%29\"$ cannot be added together because the expressions under the square root sign are not the same.
\n" ); document.write( "sometimes you can, however, convert the terms under the square root sign so that they are the same.
\n" ); document.write( " $\"sqrt%2820%29\"$ is the same as $\"sqrt%284%2A5%29\"$
\n" ); document.write( " $\"sqrt%284%2A5%29\"$ is the same as $\"2%2Asqrt%285%29\"$
\n" ); document.write( " $\"sqrt%2820%29+%2B+sqrt%285%29\"$ is therefore equivalent to:
\n" ); document.write( " $\"2%2Asqrt%285%29+%2B+sqrt%285%29\"$ .
\n" ); document.write( "because the terms under the square root sign are the same, they can be combined to get:
\n" ); document.write( " $\"2%2Asqrt%285%29+%2B+sqrt%285%29+=+3%2Asqrt%285%29\"$ .\r
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