document.write( "Question 202374This question is from textbook Algebra Structure and Method
\n" ); document.write( ": I am not sure which answer is right Expres in simplest radical form
\n" ); document.write( "sqrt 2 + sqrt 2/49 I have 2 answers 1.41 sqrt 1.41 over 7 or is it or is it 2/7
\n" ); document.write( "Thanks for any help \n" ); document.write( "

Algebra.Com's Answer #152599 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think what you are asking is:
\n" ); document.write( "Simplify $\"sqrt%282%29+%2B+sqrt%282%2F49%29\"$
\n" ); document.write( "If so, then the following applies:
\n" ); document.write( "since $\"sqrt%282%2F49%29+=+sqrt%282%29%2Fsqrt%2849%29+=+sqrt%282%29%2F7+\"$
\n" ); document.write( "then your equation becomes:
\n" ); document.write( " $\"sqrt%282%29+%2B+%28sqrt%282%29%2F7%29\"$
\n" ); document.write( "This should then be able to be simplified further as follows:
\n" ); document.write( "since $\"sqrt%282%29\"$ is the same as $\"7%2Asqrt%282%29%2F7\"$
\n" ); document.write( "then your equation becomes:
\n" ); document.write( " $\"sqrt%282%29+%2B+%28sqrt%282%29%2F7%29\"$ = $\"%287+%2A+sqrt%282%29+%2B+sqrt%282%29%29%2F7+\"$ which can be simpified further to:
\n" ); document.write( " $\"%288%2Asqrt%282%29%29%2F7\"$
\n" ); document.write( "-----
\n" ); document.write( "what this says is that:
\n" ); document.write( " $\"%288%2Asqrt%282%29%29%2F7\"$ is the same as $\"sqrt%282%29+%2B+sqrt%282%2F49%29\"$ which you can prove to be true by using a calculator as I did.
\n" ); document.write( "what I got was
\n" ); document.write( "1.616244071 = 1.616244071 which was true so the reduction to the simplest form looks good.
\n" ); document.write( " \n" ); document.write( "

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