Week 4 – PreCalc 11

This week in precalc we learned about multiplying and dividing radicals. With multiplying radicals we use other techniques we learned like simplifying and foiling.

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

the first step is to foil : (2 \sqrt{3} )(3 \sqrt{4} ) + (2 \sqrt{3} )(6 \sqrt{7} ) + (-4 \sqrt{5} )(3 \sqrt{4}) + (- 4 \sqrt{5} )(6 \sqrt{7} )

after foiling the new expression will be: 6 \sqrt{12} + 12 \sqrt{21} - 12 \sqrt{20} - 24 \sqrt{35}

we can now simplifie the answer by finding perfect squares under the roots: 6 \sqrt{4}{3} + 12 \sqrt{21} - 12 \sqrt{4}{5} - 24 \sqrt{35}

after simplifying we get the final answer: 12 \sqrt{3} + 12 \sqrt{21} - 24 \sqrt{5} - 24 \sqrt{35}

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