Question

How do arrange to get from 1/2(1+5√)−1/2(1−5√) to √5
what steps do I need to take to arrive at the answer.

Answer 1

\[1/2 (1 + \sqrt{5}) - 1/2(1 - \sqrt{5})\]

Answer 2

to the following

Answer 3

= \[\sqrt{5}\]

Answer 4

Can you please show me the steps to get there?

Answer 5

factor out the 1/2 from both bracketed expressions

Answer 6

Thanks. And the minus sign changes the second part?

Answer 7

yes - a similar expression might be:\[a(1+b)-a(1-b)=a[(1+b)-(1-b)]=a[1+b-1+b]=a[2b]=2ab\]

Answer 8

thanks that is really helpful.

Answer 9

yw :)