Question

4x/√ ̅9x+8 rationalize the denominator

Answer 1

`(4x)/(√(9x+8))`

to rationalise we multiply both numerator and denominator by
`√(9x+8)`

So we do

`(4x)/(√(9x+8)) * (√(9x+8))/(√(9x+8))`

=
`(4x(√(9x+8)))/(9x+8)`

As it cannot be simplified anymore so this is the final answer

`(4x(√(9x+8)))/(9x+8)`