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28.10.2019 •
Mathematics
Algebra ii : radical expressions. instructions: rationalize each denominator.
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Ответ:
also √x times √x=x
rationalize means get rid of the square root at thebottom
basically, if the bottom is x√n then multiply the whole fraction by (x√n)/(√n) to rationalize it, then simlify by finding ones
also remember the thingummy you need for problems 6, 9 and 10
(a-b)(a+b)=a^2-b^2
and remember
1.
multply by
2.
3. 2/(∛3)
multiply by (∛3)/(∛3)
(2∛3)/3
4.
5. ∛(4/(9x^2))=(∛4)/(∛(9x^2))
multiply by (∛(9x^2))/(∛(9x^2))
(∛(36x^2))/(9x^2)
6. multiply top and bottom by (1+√3)/(1+√3)
(8+8√3)/(1^2-(√3)^2)=(8+8√3)/(1-3)=(8+8√3)/ (-2)=-4-4√3
7. so tired, answer is
8. multiply tp and bottom by (√x-3)/(√x-3)
((-2√x)+6)/(x-9)
9. multiply by (√a+√b)/(√a+√b)
10 multiply top an bottom by
result
Ответ:
The solution is
and ![x=-0.5](/tpl/images/0469/3875/bfc2f.png)
Step-by-step explanation:
The expression is![2x(x+1.5)=-1](/tpl/images/0469/3875/84591.png)
Multiplying the term
by
, we get,
Adding both sides by 1,
Taking factor, we get,
Equating the factors to 0,
Thus, the smaller value is![x=-1](/tpl/images/0469/3875/66413.png)
The solution is
and ![x=-0.5](/tpl/images/0469/3875/bfc2f.png)