Surd equations
are a class of equations which comprise a root sign on one side of the equation
or both, which demand to be eliminated through mathematical operations before
one can start balancing the equation. The following rules are worth reckoning when
solving surd equations:
Rule #1
Rule #2
Rule #3
The unknown variable is usually found under the
root sign in a simple surd equation ,
(e.g. 
); therefore it becomes necessary to test your
solutions. As some solved values can make the equation imaginary or non-real as
we will see in the subsequent examples.
); therefore it becomes necessary to test your
solutions. As some solved values can make the equation imaginary or non-real as
we will see in the subsequent examples.
Examples
Find the values of x in
the following equations.
(the first
thing may need to do in such an equation is to transpose the constant - 3 to
the Right-Hand-side of equation, and leave the root on the Left Hand Side of
the equation. So the root can be eliminated)
Then you need to test your solution,
Testing
Solutions,
Therefore,
is a solution to this equation
When testing your
solutions always substitute back to the original equation.
Download the PDF Below
and attempt solving problems on this work sheet
Please upload some question papers too
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