+0  
 
+1
69
4
avatar+141 

Hello, I am trying to solve this radicals equation involving square roots. Please view the image below. 

 

 Sep 25, 2021
 #1
avatar+35059 
+1

Not sure what you are trying to accomplish here..... final result is   - .00194344359   according to my calcs

 

 

If I calculate the top line     I get this answer      if I calculate your bottom line   I get the same anwer  

 Sep 25, 2021
edited by ElectricPavlov  Sep 25, 2021
 #2
avatar
0

oh really? I thought I got it wrong.... Thanks!!

Guest Sep 25, 2021
 #3
avatar+114880 
+2

This is the bit that went wrong.

 

sqrt((3432*385)/(14875*60333)) = 0.038370552862457

 

sqrt((2^3*3*5*7*11^2*13)/(3*5^3*7^2*13^2*17^2)) = 0.038370552862457

 

\(\sqrt{\frac{2^3*3*5*7*11^2*13}{3*5^3*7^2*13^2*17^2}}\\~\\ =\sqrt{\frac{2^3*11^2}{5^2*7*13*17^2}}\\~\\ =\frac{2*11}{5*17}\sqrt{\frac{2}{7*13}}\\~\\ =\frac{22}{85}\sqrt{\frac{2}{91}}\\~\\\)

22/85*sqrt(2/91) = 0.038370552862457

 

 

 

LaTex

 Sep 26, 2021
 #4
avatar+35059 
+1

Sorry.....here is my correction:

 

 Sep 26, 2021
edited by ElectricPavlov  Sep 26, 2021

33 Online Users

avatar