document.write( "Question 126431: Is 2(rad)112 = 8(rad)7 ? \n" ); document.write( "

Algebra.Com's Answer #92634 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given:
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\n" ); document.write( " $\"2%2Asqrt%28112%29\"$
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\n" ); document.write( "To simplify this begin by factoring 112. First step, since 112 is even divide by 2 and you have
\n" ); document.write( "112 = 56*2. But the 56 is even, so you can also divide it by 2 and the 56*2 then becomes
\n" ); document.write( "28*2*2. And since the 28 is also even, divide it by 2 and the 28*2*2 becomes 14*2*2*2.
\n" ); document.write( "And again, the 14 is even so divide it by 2 and the final form is 7*2*2*2*2. The 7 is a prime
\n" ); document.write( "number so you cannot factor it down further.
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\n" ); document.write( "Return to your original expression and substitute 7*2*2*2*2 for 112 and you have:
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\n" ); document.write( " $\"2%2Asqrt%287%2A2%2A2%2A2%2A2%29\"$
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\n" ); document.write( "You can split this up into the products:
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\n" ); document.write( " $\"2%2Asqrt%287%29%2Asqrt%282%2A2%29%2Asqrt%282%2A2%29\"$
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\n" ); document.write( "But $\"sqrt%282%2A2%29+=+2\"$
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\n" ); document.write( "Substitute 2 for each of the terms $\"sqrt%282%2A2%29\"$ and you reduce the expression to:
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\n" ); document.write( " $\"2%2Asqrt%287%29%2A2%2A2\"$
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\n" ); document.write( "Multiply the three 2's together to get 2*2*2 = 8 and the problem reduces to:
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\n" ); document.write( " $\"8%2Asqrt%287%29\"$
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\n" ); document.write( "So congratulations ... your answer was correct. Good job! Keep up the good work.
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