how to simplify radical attached

Question

attached i couldnt write out

http://assets.openstudy.com/updates/attachments/554be9d9e4b08c324fbe4f88-nickymail48-1431038441982-uhu.png

 

Answer 1

The expression is √12x⁹ - 3x²√3x⁵

 

step 1: square all of the elements to obtain 12x⁹ - 9x⁴(3x⁵)

 

step 2: expand right side to -27x⁹

 

step 3: simplify 12x⁹ - 27x⁹ to obtain 3(4x⁹ - 9x⁹) = 3x⁹(4 - 9)

 

step 4: further simplify to 3x⁹( - 5)

 

step 5: finally, -15x⁹