Rationalising the denominator, what am I doing wrong?!

[heron89]

Hi guys, am pulling my hair out over this so any input would be very welcome!

The question is as follows -

Rationalise the denominator of -

(3 sqrt 2 - sqrt5) / (sqrt 5 - sqrt 2)

Have tried multiplying by the conjugate and simply dividing, but my answers never equate to the original expression!

Can anybody have a look at this for me and give a brief step by step synopsis? It'd be much appreciated!

Thanks

 

[Deleted member 4993]

Hi guys, am pulling my hair out over this so any input would be very welcome!

The question is as follows -

Rationalise the denominator of -

(3 sqrt 2 - sqrt5) / (sqrt 5 - sqrt 2)

Have tried multiplying by the conjugate and simply dividing, but my answers never equate to the original expression!

Can anybody have a look at this for me and give a brief step by step synopsis? It'd be much appreciated!

Thanks

Please post your work - so that we can point out your mistake (if any).