SOLUTION: {{{ root(3, sqrt(729x^6)) }}} Answer is not 3x or 3(x) any ideas? The question reads simplify the expression. Assume x denotes any real number. Thank you

Algebra ->  Exponents -> SOLUTION: {{{ root(3, sqrt(729x^6)) }}} Answer is not 3x or 3(x) any ideas? The question reads simplify the expression. Assume x denotes any real number. Thank you      Log On


   

Question 953965: ++root%283%2C+sqrt%28729x%5E6%29%29+
Answer is not 3x or 3(x) any ideas?
The question reads simplify the expression. Assume x denotes any real number.
Thank you
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Already done yesterday.

729=27%2A27=3%5E3%2A3%5E3=3%5E6

Look on the inner radical first.
%283%5E6%2Ax%5E6%29%5E%281%2F2%29
3%5E3%2Ax%5E3
actually because of the square rooting,
-%283x%29%5E3 or %283x%29%5E3

That is the expression in the outer radical, so revise:
%28-3%5E3%2Ax%5E3%29%5E%281%2F3%29 OR %283%5E3%2Ax%5E3%29%5E%281%2F3%29

completed result:
highlight%28-3x%29 or highlight%283x%29