document.write( "Question 480561: Can you please help me solve this radical? 4 / 1 + sqrt 3 . I have tried this fraction several times by multiplying the denominator and the numerator by 1 - sqrt 3 but from there on I don't know how I am supposed to multiply the numerator and denominator by the new fraction. I tried to cancel out the squareroot sign. The answer should not have a radical in the denominator. I know what the answer should be but i don't know how to get to the answer. \n" ); document.write( "

Algebra.Com's Answer #329105 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
you had the right idea.
\n" ); document.write( "if you multiply the numerator and denominator by (1-sqrt(3))/(1-sqrt(3)), the fraction remains the same and the denominator loses the square root sign.
\n" ); document.write( "your expression becomes:
\n" ); document.write( " $\"%284%2F%281%2Bsqrt%283%29%29+%2A+%281-sqrt%283%29%29%2F%281-sqrt%283%29%29%29\"$
\n" ); document.write( "when you multiply $\"%281%2Bsqrt%283%29%29%2A%281-sqrt%283%29%29\"$ , the result is -2.
\n" ); document.write( "your expression becomes:
\n" ); document.write( " $\"%284%2A%281-sqrt%283%29%29%29%2F2\"$
\n" ); document.write( "this can be simplified to:
\n" ); document.write( " $\"2%2A%281-sqrt%283%29%29\"$ which can be further simplified to:
\n" ); document.write( " $\"2+-+2%2Asqrt%283%29\"$
\n" ); document.write( "you don't have to go any further than that.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );