SOLUTION: 5 - sqrt{175} ___________ ______ 10
Algebra
->
Square-cubic-other-roots
-> SOLUTION: 5 - sqrt{175} ___________ ______ 10
Log On
Algebra: Square root, cubic root, N-th root
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Square-cubic-other-roots
Question 442442
:
5 - sqrt{175}
__________________
10
Answer by
swincher4391(1107)
(
Show Source
):
You can
put this solution on YOUR website!
Recognize that 175 in its prime decomposition is 5 * 5 * 7 OR 5^2 * 7.
so we can break the sqrt(175) into sqrt(5^2) * sqrt(7).
This simplifies to 5sqrt(7)
So our answer is just