document.write( "Question 573499: I don't undertand how to simplify radical expressions.I am in Algebra 2 and the problem is as follows:\r
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document.write( "Find the cubed root of (x^6/250). I was brainstorming and I know that 125*2=250 and 125 is a perfect cubed root, but I dont know if that is relevant. I would be really thankful if you could help me solve this problem. Thanks you so much! \n" );
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Algebra.Com's Answer #368792 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! I don't undertand how to simplify radical expressions.I am in Algebra 2 and the problem is as follows: \n" ); document.write( "Find the cubed root of (x^6/250). I was brainstorming and I know that 125*2=250 and 125 is a perfect cubed root, but I dont know if that is relevant. I would be really thankful if you could help me solve this problem. \n" ); document.write( "** \n" ); document.write( "For this problem, assume √ is the symbol for the cube root \n" ); document.write( "√(x^6/250 \n" ); document.write( "leave everything under the cube root sign \n" ); document.write( "√(x^6/250=√(x^6/125*2)=√(x^6/5^3*2) \n" ); document.write( "√(x^6/5^3*2) \n" ); document.write( "multiply numerator and denominator inside by 2^2 to rationalize denominator \n" ); document.write( "√(x^6*2^2/5^3*2*2^2) \n" ); document.write( "√(x^6*4/5^3*2^3) \n" ); document.write( "take out cube roots by dividing exponents by the index 3 \n" ); document.write( "x^2√4/5*2 \n" ); document.write( "x^2√4/10 \n" ); document.write( "This reads: x-square cube root of 4 divided by 10 \n" ); document.write( " |