SOLUTION: Please show all of the work steps so I can understand how this is solved. This problem has been quite difficult for me. Thank you so much !!! :) Simplify: 3√13/3

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please show all of the work steps so I can understand how this is solved. This problem has been quite difficult for me. Thank you so much !!! :) Simplify: 3√13/3       Log On


   

Question 631420: Please show all of the work steps so I can understand how this is solved. This problem has been quite difficult for me. Thank you so much !!! :)
Simplify: 3√13/3
Found 2 solutions by 55305, josmiceli:
Answer by 55305(86) About Me  (Show Source):
You can put this solution on YOUR website!
3√13/3 is the same thing as 3 times the square root of 13 divided by 3. So the two 3's in %283%2Asqrt%2813%29%29%2F3 cancel out, leaving only sqrt%2813%29, and that's your answer.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2A+sqrt%28+13%2F3+%29+
Rewrite this as:
+3%2A+sqrt%2813%29+%2F+sqrt%283%29+
Now multiply top and bottom by +sqrt%283%29+%2F+sqrt%283%29+
+3%2A%28+sqrt%2813%29+%2F+sqrt%283%29+%29%2A%28+sqrt%283%29+%2F+sqrt%283%29+%29+
+%283%2Asqrt%2813%29+%2A+sqrt%283%29%29+%2F+%28+sqrt%283%29%2Asqrt%283%29+%29
+%283%2Asqrt%2813%29+%2A+sqrt%283%29%29+%2F+3+
+sqrt%2813%29+%2A+sqrt%283%29+
+sqrt%2839%29+
check answer:
+3%2A+sqrt%28+13%2F3+%29+=+sqrt%2839%29+
Square both sides
+9%2A%2813%2F3%29+=+39+
+39+=+39+
OK