document.write( "Question 174534: i am doing my algebra 2 (10th grade) class on plato, an online schooling program. which i need some major help with. i cant find it anywhere, so i figured id give this a go. please help me solve this equation. $\"the+square+root+of+5xy%5E7+times+the+square+root+of+10x%5E3y%5E3\"$ thanks \n" ); document.write( "

Algebra.Com's Answer #129539 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Since square roots are never negative we must in the\r\n" );
document.write( "end be sure that our answer cannot be negative.  But\r\n" );
document.write( "first:\r\n" );
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document.write( "Multiply what's under the radicals.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "The largest perfect square that will divide \r\n" );
document.write( "into 50 is 25, so write  as \r\n" );
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document.write( "We can take out the square root of 25 as 5\r\n" );
document.write( "in front of the radical:\r\n" );
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document.write( "The index of a square root is understood\r\n" );
document.write( "to be 2, like this:\r\n" );
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document.write( "And we divide the exponents of x and y by\r\n" );
document.write( "the index 2, getting 2 and 5.  Since there\r\n" );
document.write( "is no remainder, we will have no x's or\r\n" );
document.write( "y's left under the radical, but only the 2.\r\n" );
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document.write( "Now we have just one more thing to take\r\n" );
document.write( "care of.  Since we know that the answer\r\n" );
document.write( "cannot be negative, we look at the factors:\r\n" );
document.write( "The  is never negative.\r\n" );
document.write( "The  is never negative\r\n" );
document.write( "The  is never negative.\r\n" );
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document.write( "However the  just might be negative,\r\n" );
document.write( "because if  were a negative number,\r\n" );
document.write( "then  would also be a negative\r\n" );
document.write( "number.  So we must put absolute value\r\n" );
document.write( "bars around the  to keep it from causing\r\n" );
document.write( "the expression to be negative, so the\r\n" );
document.write( "final answer is \r\n" );
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document.write( "Edwin

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