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(2/sqrt(5) X sqrt(20) X (8/sqrt(80) I don't understand this question, please answer thank you! :)

 Feb 21, 2016

Best Answer 

 #2
avatar+118667 
+10

Hi Asinus and guest,

Lets look at this.

2/sqrt(5) X sqrt(20) X (8/sqrt(80) I don't understand this question, please answer thank you! :)

 

\(\frac{2}{\sqrt5} \times\sqrt{20} \times \frac{8}{\sqrt{80}}\\ =\frac{2}{\sqrt5} \times\sqrt{4*5} \times \frac{8}{\sqrt{16*5}}\\ =\frac{2}{\sqrt5} \times \frac{2\sqrt{5}}{1} \times \frac{8}{4\sqrt{5}}\\ =\frac{2}{\sqrt5} \times \frac{2\sqrt{5}}{1} \times \frac{2}{\sqrt{5}}\\ =\frac{2}{1} \times \frac{2*1}{1} \times \frac{2}{\sqrt{5}}\\ = \frac{8}{\sqrt{5}}\\ = \frac{8}{\sqrt{5}}\times \frac{\sqrt5}{\sqrt5}\\ = \frac{8\sqrt5}{5}\\\)

 Feb 21, 2016
 #1
avatar+14997 
+10

Hello Guests.

 

(2/sqrt(5) X sqrt(20) X (8/sqrt(80) I don't understand this question, please answer thank you! :)

 

Since twice the clip without parenthesis.
I try it this way.

With computer is:

 

(2 / √5) * √20 * (8 /√80) = 2 * 8 * √(20 / (5 * 80)) = 16 * √0.05 = 3.5777

 

With great doubt!


Greeting asinus :- )

laugh!

 Feb 21, 2016
 #2
avatar+118667 
+10
Best Answer

Hi Asinus and guest,

Lets look at this.

2/sqrt(5) X sqrt(20) X (8/sqrt(80) I don't understand this question, please answer thank you! :)

 

\(\frac{2}{\sqrt5} \times\sqrt{20} \times \frac{8}{\sqrt{80}}\\ =\frac{2}{\sqrt5} \times\sqrt{4*5} \times \frac{8}{\sqrt{16*5}}\\ =\frac{2}{\sqrt5} \times \frac{2\sqrt{5}}{1} \times \frac{8}{4\sqrt{5}}\\ =\frac{2}{\sqrt5} \times \frac{2\sqrt{5}}{1} \times \frac{2}{\sqrt{5}}\\ =\frac{2}{1} \times \frac{2*1}{1} \times \frac{2}{\sqrt{5}}\\ = \frac{8}{\sqrt{5}}\\ = \frac{8}{\sqrt{5}}\times \frac{\sqrt5}{\sqrt5}\\ = \frac{8\sqrt5}{5}\\\)

Melody Feb 21, 2016

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