SOLUTION: i can not figure this problem out:
sqrt 2^109 x sqrt x^306 x sqrt x^11
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Question 171801: i can not figure this problem out:
sqrt 2^109 x sqrt x^306 x sqrt x^11
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: remember, )
Start with the given expression
Factor into and factor
Break up 
to get 
Break up 
to get 
^{\frac{1}{2}}\cdot\left(x^{306}\right)^{\frac{1}{2}}\cdot\sqrt{x}\cdot\left(x^{10}\right)^{\frac{1}{2}})
Convert from radical notation to exponential notation (see note above).
\cdot\left(x^{\frac{306}{2}}\right)\cdot\sqrt{x}\cdot\left(x^{\frac{10}{2}}\right))
Multiply the exponents
\cdot\left(x^{153}\right)\cdot\sqrt{x}\cdot\left(x^{5}\right))
Reduce
\cdot\left(x^{5}\right)\sqrt{2x})
Rearrange the terms.
Multiply and to get
So simplifies to
In other words 
where
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