Week 4 – Precalc 11

This week in math we learned how to add and subtract mixed radicals.

example: (6\sqrt{7}-5\sqrt{5}) (6\sqrt{7}-5\sqrt{5}) + (3\sqrt{7}+4\sqrt{5})^2

The first thing that you would do to this equation would be to FOIL it

(6\sqrt{7}-5\sqrt{5}) (6\sqrt{7}-5\sqrt{5}) + (3\sqrt{7}+4\sqrt{5})(3\sqrt{7}+4\sqrt{5})

After FOILing you would end up with:

36\sqrt{49}+30\sqrt{35}-30\sqrt{35}-25\sqrt{25}+9\sqrt{49}+12\sqrt{35}+12\sqrt{35}+16\sqrt{25}

The next step would be to simplify where possible

252-125+63+12\sqrt{35}+12\sqrt{35}+80

The last step is too collect like terms

=270+24\sqrt{35}

 

 

 

 

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