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Oksanka [162]
3 years ago
15

precalculus help! i'm having some trouble with my summer assignment. help would be very appreciated :)))

Mathematics
2 answers:
Anni [7]3 years ago
5 0

Problem 3:

We are given the following complex number and I'm assuming we want to simplify it:

\dfrac{5+i}{6+i}

Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):

=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}

=\dfrac{31+i}{37}

Simplifying gives us:

=\dfrac{31}{37}+\dfrac{1}{37}i

Problem 6:

You seem to have done this problem correctly

\sqrt[8]{8y^{16}}

Expanding gives us:

=\sqrt[8]{y^{16}}\times\sqrt[8]{8}

=y^2\sqrt[8]{8}

This can't be simplified further as the 8th root of 8 gives us an irrational number

Let me know if you need any clarifications or extra help, thanks!

IgorC [24]3 years ago
4 0

6.

y^2\sqrt[8]{8}

Step-by-step explanation:

\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}

Since there are eight y's in two groups we can take them out which turns into

y^2\sqrt[8]{8}

:)

3.

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