Respuesta :

Hello from MrBillDoesMath!

Answer:

(5/x) sqrt ( 10/3)

Discussion:

The question is what is the simplified form of

5 sqrt( 10x/ (3x^3)) =>

5 sqrt(  (10/3) (x/x^3) ) =>                       ( as x/x^3 = 1/x^2)

5 sqrt(  (10/3)( 1/x^2) ) =>                          ( sqrt(1/x^2) = 1\x )

(5/x) sqrt ( 10/3)


Regards,  

MrB


Answer:

[tex]5\sqrt{\frac{10x}{3x^3}}=\frac{5}{x}\sqrt{\frac{10}{3}}[/tex]

Step-by-step explanation:

Given the expression

[tex]5\sqrt{\frac{10x}{3x^3}}[/tex]

we have to simplify the above expression.

Exp: [tex]5\sqrt{\frac{10x}{3x^3}}[/tex]

[tex]5\sqrt{\frac{10}{3x^2}}=\frac{5}{x}\sqrt{\frac{10}{3}}[/tex]

which is the simplified form