SOLUTION: Simplify each radical expression. {{{ sqrt ( 243 ) }}} i don't understand this at all..something to do with a factor tree? completely confused

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify each radical expression. {{{ sqrt ( 243 ) }}} i don't understand this at all..something to do with a factor tree? completely confused      Log On


   



Question 600761: Simplify each radical expression.
+sqrt+%28+243+%29+
i don't understand this at all..something to do with a factor tree? completely confused

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice that 243 = 81*3 and that 81 is a perfect square. This is very important as we can simplify the square root of 81 to get 9.

sqrt%28243%29


sqrt%2881%2A3%29


sqrt%2881%29%2Asqrt%283%29


9%2Asqrt%283%29


So sqrt%28243%29=9%2Asqrt%283%29