Rationalize the denominator (5x^(3) )/(√(4x-6) )

Question

Rationalize the denominator


`(5x^(3) )/(√(4x-6) )`

Answer 1

`(5x^3√(4x-6) )/(4x-6)`

Explanation:

to rationalise the denominator multiply the numerator and denominator by
`√(4x-6)`

making use of the rule
`√(x)` ×
`√(x)` = x

`(5x^3)/(√(4x-6) )` ×
`(√(4x-6) )/(√(4x-6) )`

=
`(5x^3√(4x-6) )/(4x-6)`