Sydney C.

asked • 05/10/17

how do I simplify this?

simplifying radicals
3sqrt(7)/sqrt(20x)

1 Expert Answer

By:

David S.

tutor
ok...I think I made it more complicated than I needed to....
Let's try this solution....
Multiply both top & bottom by sqrt(20x)...this results in
3sqrt(7)sqrt(20x)/20x
Break down the radical in numerator sqrt(20x) into sqrt(4)*sqrt(5)*sqrt(x)
So now it becomes
3sqrt(7)*2*sqrt(5)sqrt(x)/20x
= 6sqrt(7)sqrt(5)sqrt(x)/20x
Divide top & bottom by 2:
= 3sqrt(7)sqrt(5)sqrt(x)/10x
Combine radicals:
= 3sqrt(35x)/10x
 
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05/10/17

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