Question

How do i solve this? (1/3x-11)^(1/2)=5

Answer 1

square both sides to get
(1/3x-11)=25
1/3x-11=25 then solve

why? because ^(1/2) means "take the square root". We need to "undo", or find the inverse so we square both sides.

Answer 2

`((1)/(3) x-11)^{ (1)/(2) }=5\\ (((1)/(3) x-11)^{ (1)/(2) })^(2)=(5)^(2)\\ (1)/(3) x-11=25\\ (1)/(3) x=36\\x=108`