document.write( "Question 1117329: Solve for the following pronumerals:
\n" ); document.write( "a) 9^1/x = 3sqrt(3)
\n" ); document.write( "b) 2sqrt(6) - sqrt(2) = sqrt(a-b sqrt(3))
\n" ); document.write( "c) 1/ 3-sqrt(8) = a + b sqrt(2) \n" ); document.write( "

Algebra.Com's Answer #732384 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
a) $\"9%5E%221+%2F+x%22\"$ $\"%22=%22\"$ $\"3sqrt%283%29\"$
\n" ); document.write( " $\"%283%5E2%29%5E%221+%2F+x%22\"$ $\"%22=%22\"$ $\"3%2A3%5E%221+%2F+2%22\"$
\n" ); document.write( " $\"3%5E%222+%2F+x%22\"$ $\"%22=%22\"$ $\"3%5E%221+%2B+1+%2F+2%22\"$
\n" ); document.write( " $\"3%5E%222+%2F+x%22\"$ $\"%22=%22\"$ $\"3%5E%223+%2F+2%22\"$
\n" ); document.write( " $\"2%2Fx=3%2F2\"$
\n" ); document.write( " $\"2%2A2%2F3=x\"$
\n" ); document.write( " $\"highlight%28x=4%2F3=1%261%2F3%29\"$
\n" ); document.write( "
\n" ); document.write( "b) $\"2sqrt%286%29+-+sqrt%282%29+=+sqrt%28a-b%2Asqrt%283%29%29\"$
\n" ); document.write( "When solving, we can square both sides,
\n" ); document.write( "as long as we check for possible extraneous solutions later.
\n" ); document.write( " $\"%282sqrt%286%29+-+sqrt%282%29%29%5E2+=+a-b%2Asqrt%283%29%29\"$
\n" ); document.write( "

\n" ); document.write( " $\"2%5E2%2A6-+4sqrt%2812%29%2B2+=+a-b%2Asqrt%283%29\"$
\n" ); document.write( " $\"4%2A6-+4sqrt%284%2A3%29%2B2+=+a-b%2Asqrt%283%29\"$
\n" ); document.write( " $\"24-+4sqrt%284%29sqrt%283%29%2B2+=+a-b%2Asqrt%283%29\"$
\n" ); document.write( " $\"26-+4%2A2sqrt%283%29+=+a-b%2Asqrt%283%29\"$
\n" ); document.write( " $\"26-+8sqrt%283%29+=+a-b%2Asqrt%283%29\"$ ---> $\"highlight%28system%28a=26%2Cb=8%29%29\"$
\n" ); document.write( "
\n" ); document.write( "c) If it is 1/ 3-sqrt(8) = a + b*sqrt(2)
\n" ); document.write( " $\"1%2F+3-sqrt%288%29+=+a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"1%2F+3-sqrt%284%2A2%29+=+a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"1%2F+3-sqrt%284%29%2Asqrt%282%29+=+a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"1%2F+3-2sqrt%282%29+=+a+%2B+b%2Asqrt%282%29\"$ ---> $\"highlight%28system%28a=1%2F3%2Cb=2%29%29\"$
\n" ); document.write( "
\n" ); document.write( "If it is 1/(3-sqrt(8)) = a + b*sqrt(2)
\n" ); document.write( " $\"1%2F%283-sqrt%288%29%29+=+a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%281%2F%283-sqrt%288%29%29%29%28%283%2Bsqrt%288%29%29%2F%283%2Bsqrt%288%29%29%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%288%29%29%2F%28%283-sqrt%288%29%29%283%2Bsqrt%288%29%29%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%288%29%29%2F%283%5E2-%28sqrt%288%29%29%5E2%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%288%29%29%2F%289-8%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%288%29%29%2F1\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%288%29%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%284%2A2%29%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2Bsqrt%284%29%2Asqrt%282%29%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$
\n" ); document.write( " $\"%283%2B2%2Asqrt%282%29%29\"$ $\"%22=%22\"$ $\"a+%2B+b%2Asqrt%282%29\"$ ---> $\"highlight%28system%28a=3%2Cb=2%29%29\"$ \n" ); document.write( "

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