Mathematics, 28.10.2019 15:31 Mlpgirl233

Algebra ii : radical expressions. instructions: rationalize each denominator.

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Remember multiplying something by 1 doesn't change the value

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
$\sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} }$

1. $\frac{ \sqrt{3} }{ \sqrt{7} }$
multply by $\frac{ \sqrt{7} }{ \sqrt{7} }$
$\frac{ \sqrt{21} }{7}$

2. $\sqrt{ \frac{1}{11} } = \frac{ \sqrt{1} }{ \sqrt{11} }$ multply by $\frac{ \sqrt{11} }{ \sqrt{11} }$
$\frac{ \sqrt{11} }{11}$

3. 2/(∛3)
multiply by (∛3)/(∛3)
(2∛3)/3

4. $\sqrt{ \frac{14x}{y^{2}} } = \frac{ \sqrt{14x} }{ y\sqrt{5} }$ multply by $\frac{ \sqrt{5} }{ \sqrt{5} }$
$\frac{ \sqrt{70x} }{5y}$

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 $\frac{6 \sqrt[3]{4xy^{2}} }{4x^{2}y^{2}}$

8. multiply tp and bottom by (√x-3)/(√x-3)
((-2√x)+6)/(x-9)

9. multiply by (√a+√b)/(√a+√b)
$\frac{a+ \sqrt{ab} }{a+b}$

10 multiply top an bottom by $\frac{ \sqrt{2}+ \sqrt{6} }{ \sqrt{2}+ \sqrt{6} }$
result
$\frac{12+3 \sqrt{12} }{-8}$

Answer from: Quest

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Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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