5/11+root5

Question

How would I rationalize this

I think it would be -

Multiply both sides by 11-root5
then use the foil method on the denominator to give you 55-5root5/121+5root11-5root11-5
the 2 roots would cancel out giving you 55-5root5/12-5

so would the answer be 55-5root5/7

thanks in advance

Answer 1

you have a typo and then transcribed that error

should have been
(55 - 5√5)/(121-5)
=(55 - 5√5)/116