SOLUTION: express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form

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Question 552025: express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form
:
5sqrt%283x%5E3%29+-+2sqrt%2827x%5E3%29
factor to reveal some perfect squares inside the radicals
5sqrt%283%2Ax%5E2%2Ax%29+-+2sqrt%289%2A3%2Ax%5E2%2Ax%29
extract the square root of those perfect squares
5%2Ax%2Asqrt%283x%29-+2%2A3%2Ax%2Asqrt%283x%29
which is, and are like terms, so just do the math
5x%2Asqrt%283x%29-+6x%2Asqrt%283x%29 = -x%2Asqrt%283x%29