Week 15 – Adding Radical Expressions

This week in pre-calculus 11, we continued to learn about radical expressions. What I would like to focus on for this blog post is adding radical expressions.

There are four steps to adding radical expressions which are as follows:

  1. Determine the lowest common denominator.
  2. Rewrite each fraction as an equivalent.
  3. Combine numerators.
  4. Reduce if possible.

For example:

\frac{1}{m+3}+\frac{5}{m-4}

 

\frac{(m-4)+5(m+3)}{(m+3)(m-4)}

 

\frac{(m-4)+(5m+15)}{(m+3)(m-4)}

 

\frac{6m+11}{(m+3)(m-4)}

And last but not least, you identify the discriminants which for this expression is m cannot equal -3 or 4.

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