Solve

Isolate the radical term by subtracting
from both sides:
Square both sides:
We must always check even-root radical equations,
because there may be extraneous solutions,
Checking
root(3,22)
Checking
That is false so
is not a
solution.
So
is the only solution.
-------------------
Here is how we could have solved this much easier:
Isolate the radical term by subtracting
from both sides:
A square root radical always represents a non-negative number,
so the left side is non-negative. The right side, however, will
always be negative unless
. So 0 is the only possible
solution, and we check it as above and find it is a solution,
so the only solution is
.
Edwin