document.write( "Question 1022235: simplify: 4√400/ 4√5. Show your work(i need to know how to work this problem out. \n" ); document.write( "
Algebra.Com's Answer #637977 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
If the problem is \"%284%2Asqrt%28400%29%29%2F%284%2Asqrt%285%29%29\", then...\r
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StepExpression
1.\"%284%2Asqrt%28400%29%29%2F%284%2Asqrt%285%29%29\"
2.\"%28highlight%284%29%2Asqrt%28400%29%29%2F%28highlight%284%29%2Asqrt%285%29%29\"
3.\"%28cross%284%29%2Asqrt%28400%29%29%2F%28cross%284%29%2Asqrt%285%29%29\"
4.\"%28sqrt%28400%29%29%2F%28sqrt%285%29%29\"
5.\"sqrt%28400%2F5%29\"
6.\"sqrt%2880%29\"
7.\"sqrt%2816%2A5%29\"
8.\"sqrt%2816%29%2Asqrt%285%29\"
9.\"4%2Asqrt%285%29\"
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\n" ); document.write( "\n" ); document.write( "So in the end, the expression simplifies to \"4%2Asqrt%285%29\"\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%284%2Asqrt%28400%29%29%2F%284%2Asqrt%285%29%29=4%2Asqrt%285%29\"\r
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Final Answer: \"4%2Asqrt%285%29\"
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\n" ); document.write( "\n" ); document.write( "* In step 5, I used the property \"%28sqrt%28x%29%29%2F%28sqrt%28y%29%29+=+sqrt%28x%2Fy%29\"\r
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\n" ); document.write( "\n" ); document.write( "* Once I get to step 6, everything after this step is simplifying the radical. To do this, we factor 80 into 16*5 (step 7). Notice how 16 is the largest perfect square factor of 80\r
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\n" ); document.write( "\n" ); document.write( "* In step 8, I then used \"sqrt%28x%29%2Asqrt%28y%29+=+sqrt%28x%2Ay%29\"\r
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\n" ); document.write( "\n" ); document.write( "* As you can see in step 9, the square root of 16 is 4 which is a whole number. This is why 80 was factored into 16*5\r
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\n" ); document.write( "\n" ); document.write( "* Keep in mind this answer only applies if my assumption at the top is true. The assumption that the problem was \"%284%2Asqrt%28400%29%29%2F%284%2Asqrt%285%29%29\". If the assumption at the top is not true, then maybe the next assumption is true.\r
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\n" ); document.write( "\n" ); document.write( "If the problem is \"%28root%284%2C400%29%29%2F%28root%284%2C5%29%29\", then...\r
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StepExpression
1.\"%28root%284%2C400%29%29%2F%28root%284%2C5%29%29\"
2.\"root%284%2C400%2F5%29\"
3.\"root%284%2C80%29\"
4.\"root%284%2C16%2A5%29\"
5.\"root%284%2C16%29%2Aroot%284%2C5%29\"
6.\"2%2Aroot%284%2C5%29\"
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Final Answer: \"2%2Aroot%284%2C5%29\"
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\n" ); document.write( "\n" ); document.write( "* For step 2, I used the property \"%28root%28n%2Cx%29%29%2F%28root%28n%2Cy%29%29+=+root%28n%2Cx%2Fy%29\"\r
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\n" ); document.write( "\n" ); document.write( "* For step 5, I used the property \"root%28n%2Cx%29%2Aroot%28n%2Cy%29+=+root%28n%2Cx%2Ay%29\"\r
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\n" ); document.write( "\n" ); document.write( "* Like before, to simplify the fourth root of 80, I factored 80 into 16*5 because 16 is a perfect fourth root number. Taking the fourth root of 16 yields 2 (seen on step 6)\r
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\n" ); document.write( "\n" ); document.write( "* Keep in mind this answer only applies if my assumption at the top is true. The assumption that the problem was \"%28root%284%2C400%29%29%2F%28root%284%2C5%29%29\". If the second assumption isn't true, then go back to the first assumption (hopefully it's true. If not, then let me know) \n" ); document.write( "
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