Simplify the radical

Question

Simplify The radical. Assume that all variables are nonnegative real numbers.

Square root sign then 50x^12
(simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

Look for factors of 50, such as 25*2.    It is easy to use 25 since 5*5=25.  You can take the square root of 25.

 

Also, determine the factors for X¹² ,   X⁶  * X⁶  = X ⁽⁶⁺⁶⁾. Now you know how to write these numbers.

 

 

 

You will be rewriting the radical in order to simplify.  Note  example:   √(100A²B) =√100 *√A²   *  √B =  10A√B    

 

√(50X¹²)=  √(25*2*X⁶*X⁶)=√(25) * √(2) * √(X⁶) * √(X⁶)=    Now just finish the problem.

 

 

 

Answer should be 5X⁶√2