Solving Surd Equations (Leaving Cert Mathematics): Flashcards

Equations involving an algebraic root

Isolate the surd

Square both sides

Check your answers by substituting back

Squaring can create extraneous solutions; not checking loses marks

$\sqrt{3x+7}=1+x$

No, gives $3 \neq 1$

Yes, gives $1=1$

$x=3$ only

Clearly indicate which doesn't satisfy the equation