simplify this equation

Question

5 radical 50/3 + radical 2 -3 radical 18

Answer 1

5√(50/3) + √(2) - 3√(18)

 

 

Break up the radicals by their factors.  Use factors that can you can find the square-root of.

 

5[√(25) √(2) / √(3)]  +  √(2)  -  3 √(9) √(2) =

 

5[5 √(2) / √(3)] + √(2) - 3 * 3 √(2) =

 

[25√(2) / √(3)] + √(2)  -  9√(2)  =

[25√(2) / √(3)] - 8√(2) =

 

 

(25√(2)  - 8√(6)) / √(3) =

 

 

 

 

 

Answer 2

(5√50)/3  + √2  -  3√18

 

Change everything to the appropriate form of √2

 

(5√25√2)/3  + (1√2)  + (3√9√2) 

5x5x√2  +  1√2  +  3x3x√2

 

(25/3)√2 + 1√2 + 9√2 

 

(25/3)√2  + (3/3)√2 + (27/3)√2 =

 

ANS:   (55/3)√2