Question

Please show work!!!!!!

Answer 1

`(4√(5) )/(5)`

Explanation:

Rationalise the denominator by multiplying both the numerator and denominator by
`√(30)`, that is

`(4√(6) )/(√(30) )` ×
`(√(30) )/(√(30) )`

=
`(4√(180) )/(30)`

=
`(4√(36(5)) )/(30)`

=
`(4(6)√(5) )/(30)`

=
`(24√(5) )/(30)`

=
`(4√(5) )/(5)`

Answer 2

`(4√(5) )/(5)`

Explanation:

`(4√(6) )/(√(30) ) =\frac{√(30) *4*√(6) } √(30) {√(30) } \\\\`

`(4√(6*30) )/(30) =(4*√(180) )/(30) =(4*√(36*5) )/(30) = \\\\(4*6√(5) )/(6*5) =(4√(5) )/(5)`