SOLUTION: This problem says divide and simplify, Assume all expressions under the radicals represent positive numbers. 15radical 15 over 5 radical 5 sorry I am not sure how to make radic

Algebra ->  Radicals -> SOLUTION: This problem says divide and simplify, Assume all expressions under the radicals represent positive numbers. 15radical 15 over 5 radical 5 sorry I am not sure how to make radic      Log On


   



Question 612983: This problem says divide and simplify, Assume all expressions under the radicals represent positive numbers.
15radical 15 over
5 radical 5
sorry I am not sure how to make radical signs on the computer, if I had an example on how to do one I would be able to do the rest of them thank you.

Found 2 solutions by jsmallt9, nerdybill:
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
By "radical" I assume you mean square root. All roots use a radical symbol: sqrt%2898%29+%7B%7B%7Broot%283%2C+7%28 root(12, 34)}}} etc. In the future, use sqrt(15) or say "square root". The word radical is too vague.

15sqrt%2815%29%2F5sqrt%285%29
As often occurs in Math, there is more than one way to go with this. So the following is not the one and only way to simplify your expression.

First thing I would do is simplify the numbers outside the square roots:
%283%2A5%2Asqrt%2815%29%29%2F%285%2Asqrt%285%29%29
%283%2Across%285%29%2Asqrt%2815%29%29%2F%28cross%285%29%2Asqrt%285%29%29
leaving:
%283sqrt%2815%29%29%2Fsqrt%285%29

Next I would use a property of all radicals, root%28a%2C+p%29%2Froot%28a%2C+q%29+=+root%28a%2C+p%2Fq%29, to merge the two square roots into one:
3sqrt%2815%2F5%29
The fraction inside the square root simplifies easily:
3sqrt%283%29
And there's nothing left to do!

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
15radical 15 over
5 radical 5
.
15sqrt%2815%29%2F5sqrt%285%29
.
15sqrt%2815%29%2F5sqrt%285%29+%2A+sqrt%285%29%2Fsqrt%285%29
.
15sqrt%2815%2A5%29%2F5%285%29
.
15sqrt%283%2A5%2A5%29%2F25
.
15%2A5sqrt%283%29%2F25
.
15sqrt%283%29%2F5
.
3sqrt%283%29