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Mathematics 15 Online
OpenStudy (anonymous):

r

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

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

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

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

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

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

OpenStudy (ivettef365):

I have to go

OpenStudy (anonymous):

the complete problem is

OpenStudy (anonymous):

sqrt108 - 3 sqrt 50 +5 sqrt 12 +4 sqrt 18

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