document.write( "Question 87371: Please someone, Help!!!\r
\n" ); document.write( "\n" ); document.write( "Simplify. Assume x represents a positive number.
\n" ); document.write( "Square root of 175x to the 4th power.
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Algebra.Com's Answer #63317 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%28175%2Ax%5E4%29\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%2825%2A7%2Ax%5E4%29\" Factor \"175\" into \"25%2A7\"
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\n" ); document.write( "\"sqrt%2825%2A7%2Ax%5E2%2Ax%5E2%29\" Factor \"x%5E4\" into \"x%5E2%2Ax%5E2\"
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\n" ); document.write( "\"sqrt%2825%29%2Asqrt%287%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\" Break up the square roots using the identity \"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"
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\n" ); document.write( "\"5%2Asqrt%287%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\" Take the square root of the perfect square \"25\" to get 5
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\n" ); document.write( "\"5%2Asqrt%287%29%2Ax%2Ax\" Take the square root of the perfect squares and \"x%5E2\" to get and \"x\"
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\n" ); document.write( "\"5%2Asqrt%287%29%2Ax%5E2\" Multiply the common terms \r
\n" ); document.write( "\n" ); document.write( "\"5%2Ax%5E2%2Asqrt%287%29\" Rearrange the terms \r
\n" ); document.write( "\n" ); document.write( "\"5%2Ax%5E2%2Asqrt%287%29\" Group the square root terms
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