How do you simplify #sqrt(2b^5)/sqrt(14c^2)#?

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Answer 1 · 2017-04-25T05:00:39

See below.

As you can see, you can't just directly take the square root and be done, or you wouldn't be simplifying correctly. Here is what I would do:

#sqrt(2b^5)/sqrt(14c^2)#

#sqrt(2b * b^2 * b^2)/ sqrt(14 * c * c)#

#(b^2sqrt(2b))/(csqrt(14))#

#(b^2sqrt(2)* sqrt(b))/(c* sqrt(2)* sqrt(7))#

#(b^2 * sqrt(b))/(c * sqrt(7))#

#(b^2 sqrt(b))/(c sqrt(7))#

This would be your final answer.

I hope that helps!