SOLUTION: Add or subtract. Assume all variables represent positive real numbers. /3x^2 - 3/48x^2 - 2/48x^2 (radical equations)

Algebra ->  Radicals -> SOLUTION: Add or subtract. Assume all variables represent positive real numbers. /3x^2 - 3/48x^2 - 2/48x^2 (radical equations)       Log On


   

Question 101904: Add or subtract. Assume all variables represent positive real numbers.

/3x^2 - 3/48x^2 - 2/48x^2 (radical equations)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
/3x^2 - 3/48x^2 - 2/48x^2 (radical equations)
:
Assume you mean:
sqrt%283x%5E2%29 - 3sqrt%2848x%5E2%29 - 2sqrt%2848x%5E2%29
;
sqrt%2848x%5E2%29's are like terms so just do the math:
you then have;
sqrt%283x%5E2%29 - 5sqrt%2848x%5E2%29
:
Factor inside the radicals:
sqrt%283%2Ax%2Ax%29 - 5sqrt%283%2A4%2A4%2Ax%2Ax%29
:
Extract the squares:
x%2Asqrt%283%29 - 5%2A4%2Ax%2Asqrt%283%29
:
x%2Asqrt%283%29 - 20x%2Asqrt%283%29
:
Like terms again, do the math and you have
-19x%2Asqrt%283%29
: