SOLUTION: How do I figure out the problem: 4_/--(square root sign) 10 * (multiplied by) 7_/-- 15 ?? (4 and 7 being the index and 10 and 15 being the radicand.) I

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do I figure out the problem: 4_/--(square root sign) 10 * (multiplied by) 7_/-- 15 ?? (4 and 7 being the index and 10 and 15 being the radicand.) I       Log On


   

Question 61332: How do I figure out the problem:
4_/--(square root sign)
10
* (multiplied by)
7_/--
15 ??

(4 and 7 being the index and 10 and 15 being the radicand.)
I need help step by step, because I do not understand how to figure this with the index in there. Thank you.
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
As I understand it the problem is
4sqrt%2810%29+%2A+7sqrt%2815%29
The square root of ten is the same as the square root of 2 multiplied by the square root of 5.
The square root of 15 is the same as the square root of 3 multiplied by the square root of 5.
So the problem could be rewritten as
4sqrt%282%29%2Asqrt%285%29+%2A+7sqrt%283%29%2Asqrt%285%29 sqrt%285%29%2Asqrt%285%29=5
4%2A7%2Asqrt%285%29%2Asqrt%285%29%2Asqrt%282%29%2Asqrt%283%29
28%2A5%2Asqrt%282%29%2Asqrt%283%29
140%2Asqrt%282%29%2Asqrt%283%29and sqrt%282%29%2Asqrt%283%29=sqrt%286%29 so
140sqrt%286%29