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Anguyennn
 one year ago
How to evaluate √2/3?
Anguyennn
 one year ago
How to evaluate √2/3?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is it \[\frac{ \sqrt{2} }{ 3 }\]

jackthegreatest
 one year ago
Best ResponseYou've already chosen the best response.0just think of it as \[\sqrt{2} \times \frac{ 1 }{ 3 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's an irrational number, it cannot be evaluated, you can only approximate it, \[\sqrt{2} \approx 1.4142\] so we have \[\frac{\sqrt{2}}{3} \approx \frac{1.414}{3}=0.471333....\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Usually even upto 3 decimal digits is a good approximation if required

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0then what about 3/√3

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0how would you evaluate this?

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442687878850:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{3}{\sqrt{3}}=\frac{\sqrt{3}\sqrt{3}}{\sqrt{3}}=\sqrt{3} \approx 1.732\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Notice that if you square 1.732, you get \[(1.732)^2=2.999824 \neq 3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it is only an approximation

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0but at the back of my answers it is showing √3 as the answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442698187908:dw \[\frac{ \sqrt{2} }{ 3 }=\frac{ 1.414 }{ 3 }=0.471 \approx\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That is the exactl answer, \[\sqrt{3}\] is the exact answer \[1.732\] is an approximation, if someone asks what is the answer you'd say \[\sqrt{3}\] but if you for example need a value, you can use an approximate value

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0I know that you multiply the denominator by √3 and the numerator as well but how do you get the answer as √3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{3}{\sqrt{3}}=\frac{(\sqrt{3})^2}{\sqrt{3}}=(\sqrt{3})^{21}=(\sqrt{3})^{1}=\sqrt{3}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you simply cancel a factor of root 3

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0how did you get (√3)^2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03 can be thought of the square of square root of 3, just like how you can write for example 10 as 2 times 5, I've written 3 as root 3 times root 3, or square of root 3 \[3=\sqrt{3} \times \sqrt{3}=\sqrt{9}=(\sqrt{3})^2\]

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0oh ok thank you i get it now thank you

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0could you help me with one more math problem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, show me your attempt or where you are having a problem

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0Like I know that you can simplify the 8 by doing √4x2

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0I just don't know how to do the cubed root

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, let's see Suppose I have dw:1442689623211:dw The number outside the radical, which tell which root you have to find, you have to pair up factors that many times inside a root to take them out For example dw:1442689712453:dwdw:1442689797599:dw Now let's suppose a slightly more difficult example dw:1442689856316:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0another example dw:1442690185880:dw

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0makes sense, but what about the second part because its a negative 27

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's slightly tricky! dw:1442690403700:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Anguyennn you there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442691246474:dw

Anguyennn
 one year ago
Best ResponseYou've already chosen the best response.0hello? i am so sorry the computer was frozen and i did not know how to get back to it until now. i apologize
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