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UkoKoshka [18]
4 years ago
6

4. Rationalize the denominator and simplify. 5+√5/8-√5

Mathematics
1 answer:
fomenos4 years ago
5 0
\frac{5+ \sqrt{5} }{8- \sqrt{5} } =
 \frac{5+ \sqrt{5} }{8- \sqrt{5} } * \frac{8+\sqrt{5}}{8+\sqrt{5}} =
 \frac{(5+\sqrt{5})*(8+\sqrt{5})}{(8-\sqrt{5})*(8+\sqrt{5})} =
 \frac{40+5 \sqrt{5}+8 \sqrt{5}+( \sqrt{5})^2 }{64+8\sqrt{5}-8\sqrt{5}-( \sqrt{5})^2} =

\frac{40+13 \sqrt{5}+5 }{64-5} =
 \boxed{\frac{45+13 \sqrt{5} }{59} }
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For this case we have the following number written in scientific notation:


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The following statements are correct about the number written in scientific notation:

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