Mathematics
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OpenStudy (anonymous):
r
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OpenStudy (anonymous):
\[3 \over (4+\sqrt5)+(3-2\sqrt5)\]
OpenStudy (anonymous):
@ivettef365
OpenStudy (anonymous):
rationalize the denominator
OpenStudy (ivettef365):
sorry I meant 7 - sqrt5
OpenStudy (ivettef365):
you have
3
------------------
4 + sqrt5 + 3 - 2sqrt5
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OpenStudy (ivettef365):
that is
3
-----------------
7 - sqrt5
OpenStudy (ivettef365):
multiply top and bottom by 7 + sqrt5
OpenStudy (ivettef365):
what do you get
OpenStudy (anonymous):
21 sqrt5 over 44
OpenStudy (ivettef365):
21 + 3sqrt5 over 44
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OpenStudy (anonymous):
can you help with this one? x^1/6 * x^2/7
OpenStudy (ivettef365):
when multiplying exponents you just have to add so you have
x^(1/6 + 2/7)
OpenStudy (anonymous):
x3/13 ?
OpenStudy (ivettef365):
1 2 7 + 12 19
--- + ---- = ---------- = ------
6 7 42 42
OpenStudy (anonymous):
simplify sqrt108 - 3 sqrt 50 +5 sqrt 12 +4 sqrt13
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OpenStudy (ivettef365):
so it is x^19/42
OpenStudy (anonymous):
ohh ok
OpenStudy (ivettef365):
sqrt108 = (36.3), so you can take out the 6 and you have
6sqrt3
-3sqrt50 = (25.2) so you have (-3)(5) sqrt2
OpenStudy (ivettef365):
5sqrt12 = (4.3), so you have (5)(2)sqrt3
so now you have
6 sqrt3 -15sqrt2 + 10sqrt3 + 4sqrt3
OpenStudy (ivettef365):
you can add all the sqrt3 and -15sqrt2 stays by itself
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OpenStudy (anonymous):
16 sqrt 3 - 3sqrt2
OpenStudy (ivettef365):
actually you have 6 + 10 + 4 sqrt3
OpenStudy (anonymous):
20
OpenStudy (ivettef365):
20sqrt3 - 15sqrt2
OpenStudy (anonymous):
not an option
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OpenStudy (ivettef365):
are you sure you wrote down the problem correctly
OpenStudy (ivettef365):
is it the last 4 sqrt 3 or 4 sqrt 13 ??
OpenStudy (anonymous):
+4 sqrt 18 not 13
OpenStudy (ivettef365):
If it is sqrt13 then the answer is
16sqrt3 - 15sqrt2 +4sqrt13
OpenStudy (ivettef365):
oh, then instead of 4sqrt3, the last one is 12sqrt2, combine the 2 and the 3
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OpenStudy (ivettef365):
I have to go
OpenStudy (anonymous):
the complete problem is
OpenStudy (anonymous):
sqrt108 - 3 sqrt 50 +5 sqrt 12 +4 sqrt 18