Question

Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!

Answer 1

see explanation

Explanation:

Given

`\sqrt{(4x^2)/(3y) }`

=
`(√(4x^2) )/(√(3y) )`

=
`(2x)/(√(3y) )`

Rationalise the denominator by multiplying the numerator/ denominator by
`√(3y)`

Note that
`√(a)` ×
`√(a)` = a

=
`(2x)/(√(3y) )` ×
`(√(3y) )/(√(3y) )`

=
`(2x√(3y) )/(3y)`