#### bumblebee123

##### New member

- Joined
- Jan 3, 2018

- Messages
- 20

I have a question on surds, please can you help. I need to simplify the following:

(3+2sqrt(5))/sqrt(5)

I am told to get rid of the surd in the denominator by multiplying numerator and denominator by the surd at the bottom as follows:

(3+2sqrt(5))/sqrt(5) x sqrt(5)/sqrt(5)

So I get

(3sqrt(5) + 2sqrt(5)sqrt(5))/5

then

(3sqrt(5) + 2x5)/5

my answer is

(3sqrt(5) + 10)/5

The answer in the book is :

(2+3sqrt(5))/5

Why are our answers different. Can anyone tell me what I have done wrong please.

Thank you for your help.