The rationalized expression is ( -9x^4 * (√7x+4) ) / ( 7x - 4 ).
To rationalize the denominator, we need to get rid of the square root in the
denominator.
We can do this by multiplying both the numerator and denominator by the
conjugate of the denominator, which is √7x+4.
( -9x^4/√7x-4 ) * ( √7x+4 / √7x+4 )
= ( -9x^4 * (√7x+4) ) / ( 7x - 4 )
after simplifying solution we get, ( -9x^4 * (√7x+4) ) / ( 7x - 4 )
Therefore, the rationalized expression is ( -9x^4 * (√7x+4) ) / ( 7x - 4 ).