document.write( "Question 1128590: x= sqrt(3+2sqrt2) + sqrt(3-2sqrt2)
\n" ); document.write( "a) Find the exact value of x^2 without using a calculator
\n" ); document.write( "b) Hence, determine the value of x.
\n" ); document.write( "

Algebra.Com's Answer #745095 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "x^2 = \"3+%2B+2%2Asqrt%282%29\" + \"3-2%2Asqrt%282%29\" + \"2%2Asqrt%283+%2B+2%2Asqrt%282%29%29%2Asqrt%283+-+2%2Asqrt%282%29%29\" = \"6+%2B+2%2Asqrt%28%283+%2B+2%2Asqrt%282%29%29%2A%283+-+2%2Asqrt%282%29%29%29\" = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "= \"6+%2B+2%2Asqrt%28%283%5E2+-+%282%2Asqrt%282%29%29%5E2%29%29\" = \"6+%2B+2%2Asqrt%289-4%2A2%29\" = \"6+%2B+2%2Asqrt%281%29\" = 6 + 2 = 8.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );