Question

How do you simplify `sqrt(128x^6)`?

Answer 1

`sqrt(128x^6) = 8sqrt(2)abs(x^3)`

Explanation:

`sqrt(128x^6) = sqrt(128)*sqrt(x^6)`

`color(white)("XXXX")` `128 = 2*64 = 2*8^2`
`color(white)("XXXX")` `sqrt(128) = 8sqrt(2)`

`color(white)("XXXX")` `x^6 = (x^3)^2`
`color(white)("XXXX")` `sqrt(x^6) = abs(x^3)`