bumblebee123
Junior Member
- Joined
- Jan 3, 2018
- Messages
- 200
Hello,
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.
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.