SOLUTION: {{{ 6*sqrt( 2 )/ sqrt( 21 )}}}

Algebra ->  Radicals -> SOLUTION: {{{ 6*sqrt( 2 )/ sqrt( 21 )}}}      Log On


   

Question 529731: +6%2Asqrt%28+2+%29%2F+sqrt%28+21+%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
+6%2Asqrt%28+2+%29%2F+sqrt%28+21+%29
multiply by square root of 21 over itself to get rid of the radical in the denominator
+6%2Asqrt%28+2+%29%2F+sqrt%28+21+%29*+sqrt%28+21+%29%2F+sqrt%28+21+%29 = +6%2Asqrt%282%2A21+%29%2F+21 = +6%2Asqrt%2842%29%2F+21
Reduce the fraction to
+2%2Asqrt%2842+%29%2F7
we can rewrite this, put the denominator inside the radical
+2%2Asqrt%2842%2F49%29
reduce the fraction inside the radical to
+2%2Asqrt%286%2F7%29