SOLUTION: 7 sq rt 100 ___________ _ (divided by) sq rt 500 Do I multiply both sides by sq rt 500 to get rid of it? Does this make it 7 sq. rt. 50,000? I am not sure how you

Algebra ->  Square-cubic-other-roots -> SOLUTION: 7 sq rt 100 ___________ _ (divided by) sq rt 500 Do I multiply both sides by sq rt 500 to get rid of it? Does this make it 7 sq. rt. 50,000? I am not sure how you       Log On


   

Question 153302: 7 sq rt 100
_____________ (divided by)
sq rt 500
Do I multiply both sides by sq rt 500 to get rid of it?
Does this make it 7 sq. rt. 50,000?
I am not sure how you divide using radicals. Thanks for any help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%287%2Asqrt%28100%29%29%2F%28sqrt%28500%29%29 Start with the given expression.


Multiply both the numerator and the denominator by sqrt%28500%29


%287%2Asqrt%28100%29%2Asqrt%28500%29%29%2F%28sqrt%28500%29%2Asqrt%28500%29%29 Combine the fractions


%287%2Asqrt%2850000%29%29%2F%28sqrt%28500%5E2%29%29 Combine and multiply the roots.


%287%2Asqrt%2850000%29%29%2F%28500%29 Take the square root of 500%5E2 to get 500


%287%2A100%2Asqrt%285%29%29%2F%28500%29 Simplify sqrt%2850000%29 to get 100%2Asqrt%285%29


%28700%2Asqrt%285%29%29%2F%28500%29 Multiply


%287%2Asqrt%285%29%29%2F%285%29 Reduce



So %287%2Asqrt%28100%29%29%2F%28sqrt%28500%29%29=%287%2Asqrt%285%29%29%2F%285%29